How to Graph a Linear Inequality. Linear Inequalities linear inequality  A linear inequality describes a region of the coordinate plane that has a boundary.

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Presentation transcript:

How to Graph a Linear Inequality

Linear Inequalities linear inequality  A linear inequality describes a region of the coordinate plane that has a boundary line.

Linear Inequalities linear inequality  A linear inequality describes a region of the coordinate plane that has a boundary line. solutions of an inequality  The solutions of an inequality are the coordinates of the points that make the inequality true.

Linear Inequalities  To graph y < 2x + 3 you following the following steps:

Linear Inequalities  To graph y < 2x + 3 you following the following steps: 1. Graph y = 2x + 3, but DO NOT connect the points!!

Linear Inequalities  To graph y < 2x + 3 you following the following steps: 1. Graph y = 2x + 3, but DO NOT connect the points!! 2. Look at the inequality sign. It will tell you if you need a solid or dotted line. are dotted, or are solid lines.

Linear Inequalities  To graph y < 2x + 3 you following the following steps: 1. Graph y = 2x + 3, but DO NOT connect the points!! 2. Look at the inequality sign. It will tell you if you need a solid or dotted line. are dotted, or are solid lines. 3. Check the point (0,0). If it makes the equation true, shade so (0,0) is colored in. If it makes the equation false, shade so (0,0) is NOT colored in.

Linear Inequalities  Pick a point that is shaded in and check your answer to make sure you shaded the correct way.

Linear Inequalities  Helpful Hints:  Make sure the equation is in slope intercept form.

Linear Inequalities  Helpful Hints:  Make sure the equation is in slope intercept form.  Make sure your line is dotted or solid. (Just like open or closed when graphing on a number line)

Linear Inequalities  Helpful Hints:  Make sure the equation is in slope intercept form.  Make sure your line is dotted or solid. (Just like open or closed when graphing on a number line)  Make sure you shaded the correct way.