Section%201.6

Section%201.6 - Section 1.6 Solving Linear Inequalities An...

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Math 1513 Sec 1.6 1 Section 1.6 Solving Linear Inequalities An inequality is a statement similar to an equation except that the = sign is replaced by one of 4 inequality signs , , ,     . The rules and techniques for solving inequalities are almost the same as those for solving equations except for the following: Anytime you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality sign. Example 1: Solve 2 5 4 6 x x    9 4 4 4 9 9 4 4 2 5 4 6 5 4 6 2 9 4 x x x x x x x or x            Example 2: Solve 2 5 4 6 x x    9 4 4 4 9 4 2 5 4 6 2 6 4 5 4 9 x x x x x x x       Notice that in the next to the last step we divided both sides by -4. This required us to reverse the > to <.

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Math 1513 Sec 1.6 2 Let’s look at this problem graphically. Example 3:
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Section%201.6 - Section 1.6 Solving Linear Inequalities An...

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