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3 4 solving multi-step inequalities

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This document provides instructions and examples for solving multi-step inequalities. It explains that when solving inequalities, if a term is divided or multiplied by a negative number, the inequality symbol is reversed. Several examples of solving two-step and multi-step inequalities are shown, along with special cases when an inequality is always or never true. Readers are prompted to try solving sample inequalities on their own.

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3-4 Solving Multi-Step Inequalities
Solving Two-Step Inequalities Just like solving equations, EXCEPT: If you or by a negative number, reverse the inequality symbol! Example 1: Solve . Graph the solution.
You Try! Solve 4b 1 < 7. Graph the solution.
Multi-Step Inequalities Example 2: Solve 5x 2x + 7 15 + 10. Graph the solution.
You Try! Solve 7b 12b + 1 > 8 - 22. Graph the solution.
Special Cases If you get and inequality that is ALWAYS TRUE: answer is all real numbers. Example: -5 < 0 If you get and inequality that is NEVER TRUE: answer is no solutions. Example: 3 < -2
Example 3 Solve 8x 3 > 4(2x + 3).
Example 4 Solve 2(5x 1) 7 + 10x.
You Try! Solve 2(k 5) < 2k + 5

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3 4 solving multi-step inequalities