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: 2


Option $J$

Work Step by Step

The given inequality is "$x$ is less than or equal to $6$." The numbers included in this set are the numbers that are less than or equal to $6$, which are to the left of $6$ on the number line, including $6$ itself. The equivalent interval notation of the given inequality will have: $\bf\text{lower limit:}$ none, so negative infinity will be used. $\bf\text{upper limit:}$ $6$, a bracket will be used since $6$ is included Therefore, the interval is: $\color{blue}{(-\infty, 6]}$
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