## College Algebra 7th Edition

Published by Brooks Cole

# Chapter 1, Equations and Graphs - Section 1.7 - Solving Inequalities - 1.7 Exercises: 8

#### Answer

$\sqrt5, 5$

#### Work Step by Step

Subtract 3 to each part of the inequality: $-2-3 \le 3-x-3 \lt 2-3 \\-5 \le -x \lt -1$ Multiply $-1$ to each part of the inequality. Note that since a negative number is being multiplied to each part of the inequality, the inequality symbol will change direction. $-5(-1) \ge -1(-x) \gt -1(-1) \\5 \ge x \gt 1 \\1 \lt x \le 5$ Thus, the elements of $S$ that satisfy the inequality are: $\sqrt5, 5$

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