Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 4 - Section 4.2 - Compound Inequalities - Exercise Set - Page 272: 26

Answer

Solution in interval notation: $(2,6)$ See graph below.

Work Step by Step

We are asked to solve the inequality: $7\lt x + 5 \lt 11$ To obtain the solution, we need to isolate $x$. We subtract $5$ from all sides: $7-5\lt x + 5-5 \lt 11-5$ $2\lt x \lt 6$ In interval notation, this can be written as: $(2,6)$ See the graph of the inequality below.
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