Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.10 Internal Notation; Solving Inequalities - A.10 Assess Your Understanding - Page A87: 55


$[-1, \infty)$ Refer to the graph below.

Work Step by Step

By subtracting $1$ to both sides we get $$ 1-2x\leq 3 \Longrightarrow 1-2x-1\lt 3-1\Longrightarrow -2x\leq2 .$$ Now, by dividing both sides by $-2$, we have $x\geq -1$. (Note the the inequality symbol will change because a negative number was divided to both sides of the inequality.) In terms of intervals, $x\in [-1,\infty)$. To graph, plot a solid dot at at $x=-1$ then shade the region to its right. See the figure below.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.