Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.7 Inequalities - 1.7 Exercises: 12

Answer

Option $D$

Work Step by Step

The inequality in Option $D$ means: $-8$ is less than $x$ and $x$ is less than $-10$. These statements contradict each other since a number cannot be both greater than $-8$ and less than $-10$ at the same time. Example: (1) For the number $-11$: $-8 \lt -11 \lt -10$ $-11$ is less than $-10$, but $-8$ is not less than $-11$ (2) For the number$-9$: $-8 \lt -9 \lt -10$ $-9$ is less than $-10$ nut $-8$ is not less than $-9$
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