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 - Page 158: 3


Option $A$

Work Step by Step

The given inequality is "$-2$ is less than $x$, and $x$ is less than or equal to $6$." The numbers included in this set are the numbers between $-2$ and $6$, including $6$. The equivalent interval notation of the given inequality will have: $\bf\text{lower limit:}$ $-2$, but a parenthesis will be used since $-2$ is not included $\bf\text{upper limit:}$ $6$, a bracket will be used since $6$ is included Therefore, the interval is: $\color{blue}{(-2, 6]}$
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