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# Topic 15 - The easiest way to show the solution set is by...

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*SOLVING LINEAR INEQUALITIES* The mathematical statement is an example of a linear inequality in one variable. You can use almost the same methods to solve such linear inequalities as you use to solve linear equations: Use a graph Make a table Use algebraic operations Use "undoing" What is the actual cost of the miles I drove? How many \$0.16's are in \$45.05? miles Looks like I can travel up to 281 miles ** A mathematical statement like is an example of a linear inequality in two variables. To solve this kind of linear inequality, you must find all the ordered pairs that make the inequality true.

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Unformatted text preview: The easiest way to show the solution set is by graphing. To graph the solution set: Step 1: Graph the linear equation that is associated with the inequality. If the points on the line make the inequality true, make the line solid. If the points on the line do not make the inequality true, make the line dashed. Step 2: Test a point on one side of the line in the inequality. If the point makes the inequality true, shade the region on the side of the line that contains that point. If the point makes the inequality false, shade the region on the other side of the line....
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Topic 15 - The easiest way to show the solution set is by...

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