## Algebra 1

Published by Prentice Hall

# Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Lesson Check - Page 189: 5

#### Answer

The length of the other two sides is less than or equal to 8 cm.

#### Work Step by Step

The perimeter is less than or equal to 24cm. $p\leq24$ $\longrightarrow$ substitute the given lengths and let s be the unknown side $2s+8\leq24$ $\longrightarrow$ subtract 8 from both sides $2s+8-8\leq24-8$ $\longrightarrow$ simplify $2s\leq16$ $\longrightarrow$ divide both sides by 2 $2s\div2\leq16\div2$ $\longrightarrow$ simplify $s\leq8$

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