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How to Graph a Linear Inequality First, graph the "equals" line, then shade in the correct area There are three steps Rearrange the equation so "y" is on the left and everything else on the right Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>) Shade above the line for a "greater than" (y> or y≥) Linear Inequalities Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '', '≤' or '≥' These values could be numerical or algebraic or a combination of both For example, 1017 are examples of numerical inequalities and x>y, y 11 are the Graphing Linear Inequalities If you can graph a straight line, you can graph an inequality!

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Y x-3 graph linear inequalities-I introduce how to graph 2 variable linear inequalities and work through 3 examples at 3 602 1052Check out http//wwwProfRobBobcom, there you will finSolve linear inequalities, stepbystep \square!

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Graph y > 3x 2 Step 1 Graph the boundary line This line has a slope of 3 and a yintercept of 2 We need to use a solid line to show that the points on the line are solutions Step 2 Shade above the line The inequality is greater than or equal to, so we need to shade above the lineSolve a system of linear inequalities by graphing Step 1 Graph the first inequality Graph the boundary line Shade in the side of the boundary line where the inequality is true Step 2 On the same grid, graph the second inequality Graph the boundary line Shade in the side of that boundary line where the inequality is true Step 3First draw the line y = 2 x − 3, had been equality instead of inequality Now, y > 2 x − 3 will be the region above the line Just how it would have been for the case of y < 2 x − 3 Note the dashed line shows it's not equal Had been equal it has been shown by solid line

Example 3 Graph the solution for the linear inequality 2x y ≥ 4 Solution Step 1 First graph 2x y = 4 Since the line graph for 2x y = 4 does not go through the origin (0,0), check that point in the linear inequality Step 2 Step 3 Since the point (0,0) is not in the solution set, the halfplane containing (0,0) is not in the set Hence, the solution is the other halfplane Notice, however,Graphing an inequality on a number line, is very similar to graphing a number For instance, look at the top number line x = 3 We just put a little dot where the '3' is, right? Which graph represents the solution set of the system of inequalities?

Let's graph ourselves some inequalities so let's say I had the inequality Y is less than or equal to 4x plus 3 and we want to on our XY coordinate plane we want to show all of the X&Y points that satisfy these this condition right here so a good starting point might be to break up this less than or equal to because we know how to graph y is equal to 4x plus 3 so this thing is the same thing as2y ≤ x 6 Divide both sides by 2;\(x = 3\) is the graph made by coordinate points where \(x\) is equal to 3, for example (3, 4), (3, 3), (3,2), (3, 1) and so on \(x\) is the values in between these two inequalities, so shade

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D Which linear inequality is represented by the graph?Shade in one side of the boundary line If the test point is a solution, shade in the side that includes the point If the test point is x−y>3 y< −1 5 x4 Graphx−y> 3, by graphingx−y= 3 and testing a point The intercepts arex= 3 andy= −3 and the boundary line will be dashed Test (0, 0) which makes the inequality false so shade (red) the side that does not contain (0, 0) HOW TO SOLVE A SYSTEM OF LINEAR INEQUALITIES BY GRAPHING Graph the first inequality

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To understand how to graph the equations of linear inequalities such $$ y ≥ x 1 $$ , make sure that already you have a good understanding of how to graph the equation of a line in slope intercept form A linear inequality describes an area of the coordinate plane that has a boundary line Every point in that region is a solution of the inequality In simpler speak, a linear Which is the graph of the linear inequality y 2 x3?Step by step guide to graphing linear inequalities First, graph the "equals" line Choose a testing point (it can be any point on both sides of the line) Put the value of \((x, y)\) of that point in the inequality If that works, that part of the line is the solution If the values don't work, then the other part of the line is the solution Graphing Linear Inequalities

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Y ≤ 1/2x 2 The solutions toUm, it's less than negative Three times X plus one So we can start this from establishing the coordinates, which is, um, the UAE explain Um, and then we can find some examples to find our linear graph So first we can say X equals zero, And, um, at this point, negative three times zero plus one is one, so we  To graph the solution set of the inequality 2x 3y 12, first plot the dashed line 2x 3y = 12 (dashed because the inequality has sign without notion "or equal to")This line passes through the points (0,4) and (3,2) (their coordinates satisfy the equation of

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 To graph, this inequality, start by making y the subject of the formula Adding x to both sides gives; To Graph a Linear Inequality Identify and graph the boundary line If the inequality is , the boundary line is solid If the inequality is < or >, the boundary line is dashed Test a point that is not on the boundary line Is it a solution of the inequality?Y ≤ x/2 3 Now plot the equation of y = x/2 3 as a solid line because of the ≤ sign The shade below the line because of the ≤ sign

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A linear inequality is an inequality that can be written in one of the following forms A x B y > C A x B y ≥ C A x B y < C A x B y ≤ C A x B y > C A x B y ≥ C A x B y < C A x B y ≤ C Where A and B are not both zero Recall that an inequality with one variable had many solutionsWhich is the graph of the linear inequality y ≥ −x − 3?Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, '3' in this case and color in everything above or below it Just remember if the

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{3y≥x−93xy>−3 please only comment if you dont know, its kinda annoying how much people just use an actaul answer slot to put the fact they dont know, it will be reported A system of 2 linear inequalities graphed on a coordinate plane The horizontal x axis ranges from negative 5 to 5 inOn a coordinate plane, a solid straight line has a negative slope and go es through (negative 3, 0) and (0, negative 3) Everything to the right of the line is shaded On a coordinate plane, a solid straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3) Everything to the left of the line is shadedNOT (0, 2) (2, 0) Which is the graph of the linear inequality 1/2x 2y > 6?

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Graph the solution set y > − 3 x 1 Solution Step 1 Graph the boundary Because of the strict inequality, we will graph the boundary y = − 3 x 1 using a dashed line We can see that the slope is m = − 3 = − 3 1 = r i s e r u n and the y intercept is (0, 1)To convert an equation to slopeintercept form, isolate y on the left side of the equation and rearrange the terms so that the equation is in the form y= mx b Remember The graph of a linear equation is a line in the coordinate plane Each point that isY > 3x 2 Which linear inequality is represented by the graph?

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Step 2 Change inequality to equality Therefore, y > x 1 becomes y = x 1 Step 3 Now graph the y = x 1 Use the method that you prefer when graphing a line In addition, since the original inequality is strictly greater than symbol, \Large{\color{red}>}, we will graph the boundary line as a dotted line Step 4 The original inequality is y > x 1 The greater than symbol implies that weHence the origin lies in the solution area which is given by the left side of the line`s graph Consider x ≥ 0, y ≥ 0, The given inequalities imply the solution lies in the first quadrant only Hence the solution of the inequalities is given by the shaded region in the graph 11 2x y ≥ 4, x y ≤ 3, 2x – 3y ≤ 6 SolutionLinear inequalities are graphed the same way as linear equations, the only difference bei About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How

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Get an easy, free answer to your question in Top Homework Answers Which linear inequality is represented by the graph? Graphing Linear Equations Worksheet Answers Graphing Linear Equations Algebra Worksheets Pre Algebra Worksheets 1 Answer Tony B See explanation Y=x^3 graph Download free on Google Play The slopeintercept form is where is the slope and is the yintercept Tap for more steps Download free on iTunes The difference is that every point on yx has beenGraphing an inequality starts by graphing the corresponding straight line After graphing the line, there are only two additional steps to remember Choose a point not on the line and see if it makes the inequality true If the inequality is true, you will shade THAT side of the

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Module 3 Graph Linear Equations and Inequalities Search for Solution Sets of Inequalities Learning Outcome Identify whether an ordered pair is in the solution set of a linear inequality;The inequality is y ≥ −x − 3, it means could be EQUAL OR Greater than x3 Then the line is consistent, where the 3rd graph shows that the line is dotted, thatA The solutions to the inequality y > −3x 2 are shaded on the graph Which point is a solution?

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So for this question, we're gonna draw the graph for the inequality Why? Basically this means all those values of y that are less than 3 If you wish to do a 2 dimensional representation of this (graph) you plot y = 3 but you use a dotted line This signifies that the value of y may not take on the value shown In this case y ≠ 3 You indicate which side of the line relate to the permitted values of y by shadingThe graph below shows the region of values that makes the inequality latex3x2y\leq6/latex true (shaded red), the boundary line latex3x2y=6/latex, as well as a handful of ordered pairs The

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Which is the graph of the linear inequality y ≥ −x − 3? Graph the solution set for the system of linear inequalities \(x>3\) \(\displaystyle{y}\ge{4}\) Expert Answers (1) The solution set \(\displaystyle{x}\in{\left({3},\infty\right)},\) \(\displaystyle{y}\in{\left{4},\infty\right)}\) The graph of solution set This is helpful 0 Best answer expert advice Have a similar question?Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!

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Answers 3 Get Other questions on the subject Mathematics Mathematics, 1650, alexabbarker9781 An angle that measures between 90 and 180° is called a(, Answers 2 continue Mathematics, 1700, drandbone92 Shane can shovel the driveway in 4 hours, but if his sister it would take 2 hours For example, if the inequality is y > 3x 3, you would graph the line y = 3x 3 The yintercept (the point where the line crosses the y axis) is 3, and the slope is 3, or \frac{3}{1} So, you would draw a point at (0, 3) The point above the yintercept is (1, 0) The point below the yintercept isFor this question We're gonna transform the inequality a little bit before we start drawing the graph So we started by keeping three y on the left inside and move to X to the right hand side And then we do some algebra by dividing both sides with three So now I can star withdrawing the graph We have to find two example points in order to connect them and find our line graph

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Now graph another inequality latexy>−x/latex You can check a couple of points to determine which side of the boundary line to shade Checking points M and N yield true statements So, we shade the area above the line The line is dashed as points on the line are not true To create a system of inequalities, you need to graph two or more inequalities together Let us useThe equation of the line is Further explanation The linear equation with slope and intercept is given as follows The formula for slope of line with points and can be expressed as, Given Explanation The line intersects yaxis atGraph the inequality y < 2x 2 Step 1 Graph the inequality as you would a linear equation Think of y = 2x 2 when you create the graph Remember to determine whether the line is solid or dotted In this case, since the inequality symbol is less than (

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Answer to Graph the solution set for the system of linear inequalities x 3 \\y \geq 4 By signing up, you'll get thousands of stepbystep x 3 \\y \geq 4 By signing up, you'll getThe graph below shows four straight lines, W, X, Y, and Z Graph of line W going through ordered pairs negative 4, negative 2 and negative 1, 5 Graph of line X going through ordered pairs negative 2, negative 1 and 0, 5 Graph of line Y going through ordered pairs negative 1, negative 3 and 1, 3 Graph of line Z going through ordered pairs 0, negative 5 and 2, 1 Which line is represented byThe graph of a linear inequality in one variable is a number line Use an open circle for < and > and a closed circle for ≤ and ≥ The graph for x > 3 The graph for x ≥ 2 Inequalities that have the same solution are called equivalent There are properties of inequalities as well as there were properties of equality All the properties below are also true for inequalities involving ≥

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Y < 2/3x 3 y >3/2 x 3 y >2/3 x 3 y < 3/2x 3 Get an easy, free answer to your question in Top Homework AnswersAnswer to Graph the inequality y 5 By signing up, you'll get thousands of stepbystep solutions to your homework questions You can also ask For x = 0 y = 0 3 y = 3 or (0, 3) For x = 4 y = 4 3 y = 1 or (4, 1) We can now graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality graph{(x^2(y3)^035)((x4)^2(y1)^035)(yx3)=0 10, 10, 5, 5} Now, we can shade the right side of the line We also need to change the boundary line to a

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