Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix A - Numbers, Inequalities, and Absolute Values - A Exercises - Page A9: 18


$(\frac{1}{2}, ∞)$

Work Step by Step

Step 1: Our aim is to solve the inequality $1+5x>5-3x$ in terms of intervals and illustrate the solution set on the real number line. Step 2: Now, we will solve. $1+5x>5-3x$ $5x+3x>5-1$ $x>\frac{1}{2}$ Hence, the solution set is $(\frac{1}{2}, ∞)$. Step 3: The solution set is depicted on the real number as below:
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