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solving linear equations and inequalities worksheet pdf

Quizzes with auto-grading, and real-time student data. -A.2A linear domain and range MAEl Zl1 jr ri 3gJh Vtbs j ir te wsnefrEvse zd p.A W LMmaJdEe0 Vw6iDtchb uIvn tf KiPniot OeN 6A0lAgNe3b orca d x1D.S Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ . Customize the worksheets to include one-step 583 Math Teachers 11 Years in business 83695+ Completed orders Get Homework Help x-intercepts and y-intercepts. 5p < -25 19. There are seven parts, and each section has a "Things to Remember" box with hints about that particular topic. I would suggest 7 to 8 minutes be allotted for each station. 2011-10-03T14:46:12-04:00 6. The equation y5 is a linear inequality equation. 1 0 obj Day 17 Graphing Linear Inequalities Worksheet answer key.pdf. For example. TPT empowers educators to teach at their best. HW: 1.2 Worksheet, get syllabus signed, pay lab fee $3. \(\begin{aligned} \color{Cerulean}{15}\color{Black}{ \cdot} \left( \frac { 1 } { 3 } x + \frac { 1 } { 5 } \right) & = \color{Cerulean}{15}\color{Black}{ \cdot} \left( \frac { 1 } { 5 } x - 1 \right) \quad \color{Cerulean}{Multiply\: both\: sides\: by\: 15.} We can express this solution in two ways: using set notation and interval notation. \(\begin{aligned} - a & = - 2 \\ \color{Cerulean}{( - 1 )}\color{Black}{ (} - a ) & = \color{Cerulean}{( - 1 )}\color{Black}{ (} - 2 ) \\ a & = 2 \end{aligned}\). \\ - 5 x + 4 = 7 - 14 x & \quad\color{Cerulean} { Combine\: opposite-side\: like\: terms. } A1M9pR}E+a*Y{5 S${1E|1/EJxkGE9ojgLNYlm&N*n&4[ 8V They can be used to introduce concepts or to review them. This 25- question, auto-grading Google Forms assignment provides students with practice or assesses solving systems of linear equations + inequalities. 11pt Solve linear equations and linear inequalities in one variable, including equations with coefficients represented by letters (literal that are linear in the variables being solved for). uuid:5fb60f1c-dbb1-4dbe-8301-0c423d0816ca When translating sentences into mathematical statements, be sure to read the sentence several times and parse out the key words and phrases. In this sense, we say that solutions satisfy the equation.. 10pt \\ \frac { - 2 x } { \color{Cerulean}{- 2} } & \color{OliveGreen}{\leq} \frac { \color{Black}{30} } { \color{Cerulean}{- 2} } \quad\color{Cerulean}{Reverse\: the\: inequality.} Solving Multi-Step Inequalities -7y < 21 21. 4. x-2y-6 Graph each system of linear inequalities below and shade the appropriate region. To get the worksheet in html format, push the button "View in browser" or "Make html worksheet". Always use the original equation to check to see if the solution is correct. Power Point includes animated step-by-step instructions for creating a foldable for either "Solving Linear Equations" and "Solving Linear Inequalities." Materials needed for each student: scissors, ruler, 2 to 3 markers, and a piece of cardstock or construction paper. 7 < 4q - 9 Some filters moved to Formats filters, which is at the top of the page. 20 questions that get progressively more difficult as the students work through the circuit. Here we point out that \(a\) is equivalent to \(1a\); therefore, we choose to divide both sides of the equation by \(1\). Two-Step Inequalities Date_____ Period____ Solve each inequality and graph its solution. \(\begin{array} { r } { 5 ( \color{Cerulean}{- 4}\color{Black}{ )} + 7 < 22 } \\ { - 20 + 7 < 22 } \\ { - 13 < 22 } \:\:\color{Cerulean}{} \end{array}\), \(\begin{array} { c } { 5 ( \color{Cerulean}{6} \color{Black}{)} + 7 < 22 } \\ { 30 + 7 < 22 } \\ { 37 < 22 } \:\:\color{red}{} \end{array}\), \(x=4\) is a solution and \(x=6\) is not. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. In this case, it is the \(LCD (3, 5) = 15\). are a great way for students to practice topics or show proficiency. endstream endobj startxref \(\begin{array} { c } { 5 x + 7 < 22 } \\ { 5 x + 7 \color{Cerulean}{- 7}\color{Black}{ < 22}\color{Cerulean}{ - 7} } \\ { 5 x < 15 } \\ { \frac { 5 x } {\color{Cerulean}{ 5} } < \frac { 15 } { \color{Cerulean}{5} } } \\ { x < 3 } \end{array}\). Solving Equations with The Distributive Property Free Printable Math Worksheets for Algebra 1 Relations and Introduction to Functions Linear Equations and Inequalities. cEXyLL0mf|xIS]'&la8x71,% Thats correct, but \(x\) could be 6, too, or 137, or even 3.0001. It shows the data which is not equal in graph form. This BUNDLE does not include ALL items within this Unit, but only the items with a solving Systems of Equations & Inequal, Use this Solving Systems of Linear Equations & Inequalities NOTE GUIDE BUNDLE (Algebra 1 & 2) to guide & instruct students with these items: PLEASE NOTE: This bundle includes only the Solving Linear Systems of Equations & Inequalities topics within my Linear Equations, Inequalities, & Systems Unit (Algebra 2)! Free trial available at KutaSoftware.com. (Note that this will open a different textbook in a new window. Solve: \(- \frac { 1 } { 2 } ( 10 x - 2 ) + 3 = 7 ( 1 - 2 x )\). % We do that by putting a bracket at \(x=1\). The process is similar to solving linear equations. Linear equations are used in several data and computer science applications. 137An equation that is never true and has no solution. We strive to deliver products of the highest quality to our customers. These grade 7 math worksheets follow a step-wise pattern so that students can easily explore all the topics in detail. We use the left parenthesis symbol, (, to show that the endpoint of the inequality is not included. There are digital pieces scattered throughout. In addition to being easy to use, the linear equations and inequalities worksheets have answer manuals that contain the solutions to all problems given in the sheet. 15 - 5k 0 14. At this point in our study of algebra the use of the properties of equality should seem routine. 2.1E: Exercises. These Algebra 1 Worksheets allow you to produce unlimited numbers of dynamically created systems of equations and Inequalities worksheets. \\ - 2 x & \geq 30 \quad\color{Cerulean}{Divide\: both\: sides\: by\: -2.} Algebra simplifies the process of solving real-world problems. Linear equation: 2= 3+ 1 Solve each inequality. Choose AT LEAST one type. Solve each inequality. VERIFYING SOLUTIONS A linear equation is made up of two expressions that are equal to each other. Solve and graph the solution set: \(\frac{1}{2}x2\frac{1}{2}(\frac{7}{4}x9)+1\). Linear inequalities math worksheet for 7th grade children - PDF printable in 7th Grade, Inequalities/by math4childrenplus Linear inequalities worksheet for 7th grade children. We write \(x\leq 1x\leq 1 \)in interval notation as \((\infty,1]\). ]\Rb49Wq%%Lvae uJVS9jbMu.i*glw;~vB}m3Y!uGR-/53UN+NkbZ0gk>1oVW@kBa/XqgZ{E,E_p y5[=%vh4.|*Uc:egB+}&$~52oa Students immediately check their work by finding their answer in the next box. A.REI.3 Solve linear equations and inequalities in \(\begin{array} { l } { 10 > - 5 } \\ { \frac { 10 } { \color{Cerulean}{- 5} } \color{Black}{>} \frac { - 5 } { \color{Cerulean}{- 5} } } \quad \color{Cerulean}{Divide\: both\: sides\: by\: -5.} endstream endobj 1162 0 obj <. Solving Two-Step Equations \(\begin{aligned} - 7 y - 3 & = 11 \quad\color{Cerulean}{Add\: 3\: to\: both\: sides.} !L:i66|}KR5 MwJ68wZa:(9kJcQJ+z=w?CuZwLgj :q._2-fc1WN^bT$cSP[WZO\f9+ (24 Worksheets) Absolute Value Inequalities Worksheets Usually, this translation to mathematical statements is the difficult step in the process. From here, solve using the techniques developed previously. The best way to be well-versed in such an important topic is by solving several practice sums that are easily available in the linear equations and inequalities worksheets. Additionally, they will provide the groundwork for the future and aid in . The following TEKS are covered: They know they have completed the circuit fully and correctly when the last box brings them back to question #1. Step 5: Finally, answer the question in sentence form and make sure it makes sense (check it). Solving quadratic equations By taking square roots By factoring With the quadratic formula By completing the square Radical Expression Simplifying radicals Adding and subtracting radical expressions Multiplying radicals Dividing radicals Using the distance formula Using the midpoint formula Solving radical equations Easy Hard No variable in a linear equation can have a power greater than 1. yV@xjz&L.cQ#&;"&}C9)[G]ZmGzAVn.kP8t,)p*YU"*,qQ29;b M;Q9acw#o The variable in the linear equation \(3x 12 = 0\) is \(x\) and the solution is \(x = 4\). Equations and inequalities may be represented on a quantity line. worksheet solving inequalities algebra kuta graphing systems software Quiz 2: 5 questions Practice what you've learned, and level up on the above skills. Therefore, we begin by subtracting \(8\) on both sides of the equal sign. 1.2 Notes: Solving Linear Equations. Using inequalities to solve problems Get 3 of 4 questions to level up! 16 n = 2 4. Equations and inequalities is an essential concept in mathematics. pW7&59oEZ`@Q?G8AkCF3CcTKEY*H8A?PKd The inequality \(x\leq 1\) means all numbers less than or equal to one. Algebra 1/Jackson. Answer. Alternatively, we can multiply both sides of \(a=2\) by negative one and achieve the same result. 34 total questions. We'll also see what it takes for an equation to have no solution, or infinite solutions. Translating algebraic phrases in words to algebraic expressions Knowing the language of algebra can help to extract meaning from word problems and to situations outside of school. Fast solutions. PScript5.dll Version 5.2 All but one of the rules for solving linear inequalities are the same as solving linear equations. Additional title & instructions (HTML allowed). Two-variable linear equations intro. Complete the Property Table - Level 1 The boundary lines in this set of graphing two-variable linear inequalities worksheets are in the slope-intercept form. 1. 2 0 obj 1184 0 obj <>/Filter/FlateDecode/ID[<9D126D529814A74B9CAAD449527FF8DB><0A0F665A7A87EB43B68CD8BCE126640B>]/Index[1161 75]/Info 1160 0 R/Length 113/Prev 319934/Root 1162 0 R/Size 1236/Type/XRef/W[1 3 1]>>stream The procedure of the problem is also shown step by step. :S5c][Tjevq.nmjZ-ve#rB(k;GVXNUibL"Oa}ensDA#28iN6LW\/fWK1\lB6;Nv,]mZM 3 < 2 x + 1 9.-8x + 18 > -22 10. Finally, check to verify that your solution solves the original equation. A solution131 to a linear equation is any value that can replace the variable to produce a true statement. Writing and solving linear functions equations and inequalities kuta - In Writing task 1 academic you need to write a report about one of the following: It. 1.1: Solving Linear Equations and Inequalities is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by LibreTexts. Solving Systems of Linear Equations & Inequalities NOTE GUIDE & PRES BUNDLE! %PDF-1.5 You will find 16 task cards, 3 worksheets, a 3 question quiz and answer keys. xZn7}A;Kd#e,;E6oFk9$[ <9ysg @Wo@(Y ^/J_]}Ag_w5cv~4 Math is a subject that many students find difficult. INEQUALITIES, NUMBER LINES, AND INTERVAL NOTATION. Therefore, displaying these steps in this text, usually in blue, becomes optional. Solving inequalities with fractions worksheets aim at teaching the students how to deal with inequalities in fractions. Type 1: Plot a given inequality on a number line (such as plot x 5) Type 2: Write an inequality that corresponds to the plot on the number line. \\ 1x & = 3 \cdot ( - 2 ) \\ x & = - 6 \end{aligned}. Day 17 Graphing Linear Inequalities Worksheet answer key.pdf Graph each inequality below: 3. y2. B,. 1) a number increased by 5. 36pt @d]J].a(PeJjsUlO^%5_IX=O5;s.7 MC. eD\5hx XT%0h0# 'W'8O2j(n't RU`Z"\4^T Cell Padding: Shade to the right of \(3\), and put a bracket at \(3\). We begin by defining equivalent equations132 as equations with the same solution set. Do not try to clear fractions when simplifying expressions. Let's do these together. Before you get started, take this prerequisite quiz. \(\begin{array} { r } { \{ x | x < 3 \} } &\color{Cerulean}{Set\: notation} \\ { ( - \infty , 3 ) } &\color{Cerulean}{Interval\: notation} \end{array}\). As a reminder: We simplify expressions and solve equations. We can also represent inequalities using interval notation. Avoid two variables by looking for a relationship between the unknowns. HW: 1.2 Worksheet, get syllabus signed, pay lab fee $3. 1 0 obj <> endobj 1280 0 obj <>stream To understand why we included the parentheses in the set up, you must study the structure of the following two sentences and their translations: The key was to focus on the phrase twice the sum, this prompted us to group the sum within parentheses and then multiply by \(2\). By breaking down and clarifying the steps in a math equation, students can more easily understand and solve the problem. An, 6 Complete lessons including daily lesson plans, spiraled warm ups, foldable notes, interactive notebook notes, practice, and exit ticket for all 6 lessons, Bonus of 4 activities. Linear Inequalities Application Problems.pdf So let's see, we wanna be greater than or equal to 4$, we're gonna spend $1.20 on orange juice and then the amount that we spend on donuts . If given a linear equation of the form \(ax + b = c\), then we can solve it in two steps. This is a fun digital riddle activity that is self-grading and prep-free! In mathematics, an inequality is simply a statement that the quantity on one side of the signs of greater , smaller or equal is not equal to the quantity on the other side of the sign.The answer key in these worksheets is . Simplify the process of solving real-world problems by creating mathematical models that describe the relationship between unknowns. Now, subtract - forty from either side of the above equation. Solving Linear Equations Worksheet Pdf. The Textbook Exercise on Solving Inequalities. You can generate the worksheets either in html or PDF format both are easy to print. Developing techniques for solving various algebraic equations is one of our main goals in algebra. Solve each equation or inequality. Substitute the values in for \(x\), simplify, and check to see if we obtain a true statement. This unit is a bundle of these concepts and will require very little time for the teacher to prepare since everything is provided for you. -9c > -81 20. 2011-10-03T14:46:12-04:00 If you have a linear inequality in slope intercept form, you can use these steps to graph that inequality on the coordinate plane: Identify the y-intercept constant in the inequality (the 'b' term in the equation) Plot the y-intercept point on the coordinate plane at the (0,b) point. rqKoXkWs[zkVv/5Gurw8@d >. { "1.1E:_Exercises_-_Solving_Linear_Equations_and_Inequalities" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "1.01:_Solving_Linear_Equations_and_Inequalities" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.02:_Graphing_Linear_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.03:_Determining_the_Equation_of_a_Line" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.04:_Linear_Applications" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.05:_Fitting_Linear_Models_to_Data" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.06:_Chapter_1_Review" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "01:_Linear_Equations_and_Lines" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "02:_More_About_Functions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "03:_Solving_Systems_of_Equations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "04:_Solving_Systems_of_Inequalities" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "05:_Sets_and_Counting" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "06:_Probability" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "07:_Exponential_and_Logarithmic_Functions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "08:_Finance_Applications" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, 1.1: Solving Linear Equations and Inequalities, [ "article:topic", "license:ccbyncsa", "showtoc:no", "source[1]-math-6392", "source[2]-math-6392" ], https://math.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fmath.libretexts.org%2FCourses%2FCommunity_College_of_Denver%2FMAT_1320_Finite_Mathematics%2F01%253A_Linear_Equations_and_Lines%2F1.01%253A_Solving_Linear_Equations_and_Inequalities, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), 1.1E: Exercises - Solving Linear Equations and Inequalities, General Guidelines for Solving Linear Equations, Expressing Solutions to Linear Inequalities, status page at https://status.libretexts.org, If \(A=B\), then \(A\color{Cerulean}{+c}\color{Black}{=} B\color{Cerulean}{+c}\), If \(A=B\), then \(A\color{Cerulean}{-c}\color{Black}{-}B\color{Cerulean}{-c}\), If \(A=B\), then \(\color{Cerulean}{c}\color{Black}{A}=\color{Cerulean}{c}\color{Black}{B}\), If \(A=B\), then \(\frac{A}{\color{Cerulean}{c}}\color{Black}{=}\frac{B}{\color{Cerulean}{c}}\), \(\frac { 1 } { 2 } x + \frac { 5 } { 3 }\), \(\frac { 1 } { 2 } x + \frac { 5 } { 3 }=0\), \(\begin{aligned} \frac { 1 } { 2 } x + \frac { 5 } { 3 } & = 0 \\ \color{Cerulean}{6 \cdot}\color{Black}{ \left( \frac { 1 } { 2 } x + \frac { 5 } { 3 } \right)} & = \color{Cerulean}{6 \cdot}\color{Black}{ 0} \\ 3 x + 10 & = 0\quad\color{Cerulean}{} \end{aligned}\). It is easy to forget to do this so take special care to watch for negative coefficients. . 3 h > -6 22. 16. x + 12 > -15 17. \\ 9 x = 3 & \quad\color{Cerulean} { Solve. } Simplify \(2-6(4-7)^2\) without using a calculator. Solving Two-Step Inequalities Word problems involving linear inequalities - Worksheet by Kuta Software LLC Inequalities Word Problem Worksheet 5) Pet Supplies makes a profit of $5.50 per . 135Equations that are true for particular values. The notation for inequalities on a number line and in interval notation use the same symbols to express the endpoints of intervals. Algebra 2 Linear Equations & Inequalities. I gave it five on five but if there was ten stars than i liked to give them all of them. ]c~Ono9xxQ(V6 Tv>h M=NqMJyy]j #K~?-K#!WSJgm8Q })4Y!N),LD;{&oC(5J&ed'-3NRR.9)dWD.rpfg hK\~ . Solving equations and inequality worksheets is helpful as they are used to compare numbers and decide the range or ranges of values that fulfill the circumstances of a given variable. \\ 7 x & = 21 \\ \frac { 7 x } { \color{Cerulean}{7} } & = \frac { 21 } { \color{Cerulean}{7} } & & \color{Cerulean}{Divide\: both\: sides\: by\: 7.} Step 2: Use the appropriate properties of equality to combine like terms on opposite sides of the equal sign. Solving equations and inequality worksheets is helpful as they are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable. You may add or subtract any real number to both sides of an inequality, and you may multiply or divide both sides by any positive real number to create equivalent inequalities. Linear inequalities have either infinitely many solutions or no solution. 50 < 8 - 6x 11. Are you thinking, "\(x\) could be four"? 8 = 16 + n 3. First, use the appropriate equality property of addition or subtraction to isolate the variable term. Inequalities typically have infinitely many solutions. Students can download the PDF format of these easily accessible linear inequalities worksheets to practice and solve questions for free. Our 6 th grade linear inequalities with answer worksheets have been designed in a simple and straightforward way for kids to easily solve and replace the variable in an expression with its true numerical value. Subtracting \(7\) from each side and dividing each side by positive \(5\) results in an inequality that is true. \\ x = \frac { 3 } { 9 } = \frac { 1 } { 3 } \end{aligned}\). Solving Multi-Step Equations AI. Each free worksheet can be customized and comes with an answer key. The stations each include at least one word problem. Graphing linear inequalities worksheet algebra simplified 2015 answer key - 2) Solve basic equations (linear and quadratic) 10) Solve and graph inequalities. endstream endobj 1283 0 obj <>/Encoding<>>>>> endobj 3 0 obj <> endobj 4 0 obj <>/Type/Page>> endobj 26 0 obj <>/Type/Page>> endobj 39 0 obj <>/Type/Page>> endobj 52 0 obj <>/Type/Page>> endobj 61 0 obj <>/Type/Page>> endobj 73 0 obj <>/Type/Page>> endobj 74 0 obj <>stream \(\begin{array} { c } { \frac { 1 } { 2 } x - 2 \geq \frac { 1 } { 2 } \left( \frac { 7 } { 4 } x - 9 \right) + 1 } \\ { \frac { 1 } { 2 } x - 2 \geq \frac { 7 } { 8 } x - \frac { 9 } { 2 } + 1 } \\ { \frac { 1 } { 2 } x - \frac { 7 } { 8 } x \geq - \frac { 7 } { 2 } + 2 } \\ { - \frac { 3 } { 8 } x \geq - \frac { 3 } { 2 } } \\ { \left( \color{Cerulean}{- \frac { 8 } { 3 }} \right) \left(\color{Black}{ - \frac { 3 } { 8 } x} \right) \leq \left( \color{Cerulean}{- \frac { 8 } { 3 }} \right) \left( \color{Black}{-} \frac { 3 } { 2 } \right) \quad \color{Cerulean} { Reverse\: the\: inequality. }

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solving linear equations and inequalities worksheet pdf

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