## Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning

# APPENDIX A - Numbers, Inequalities, and Absolute Values - A Exercises - Page A9: 13

#### Answer

$x>-2$

#### Work Step by Step

For inequality equations we consider: $a> b = a-c > b-c$ and $a> b = \frac{a}{c} > \frac{b}{c}$ Using that we solve: $2x + 7 >3$ $2x +7 - 7 > 3- 7$ $2x > -4$ Then we divide each side of the equation by 2 $\frac{2x}{2}>\frac{-4}{2}$ $x> -2$ We look in the graphic for all the numbers greater than -2:

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