## College Algebra 7th Edition

Published by Brooks Cole

# Chapter 1, Equations and Graphs - Section 1.7 - Solving Inequalities - 1.7 Exercises: 23

#### Answer

$(-\infty, -1]$ Refer to the image below for the graph.

#### Work Step by Step

Distribute $-1$ on the right side of the inequality to obtain: $4-3x \le -1-8x$ Add $8x$ and subtract $4$to both sides of the inequality to obtain: $\begin{array}{ccc} &4-3x+8x -4&\le & -1-8x+8x-4 \\&5x &\le &-5 \end{array}$ Divide $5$ to both sides of the inequality to obtain: $\begin{array}{ccc} \\&\dfrac{5x}{5} &\le & \dfrac{-5}{5} \\&x &\le &-1 \end{array}$ Thus, the solution set is $(-\infty, -1]$. To graph this solution set, plot a solid dot at $-1$ then shade the region to its left. (refer to the attached image in the answer part above for the graph)

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.