Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Appendix A - Equations and Inequalities - Page 417: 68

Answer

J

Work Step by Step

The correct interval notation for the inequality $x\leq6$ is $(-\infty,6]$. This is denoted by option J. According to the inequality, the interval includes $6$ and all values less than $6$. Since $6$ is a part of the interval, a square bracket is used on its side. On the other hand, we represent all values less than $6$ by the symbol $-\infty$. Therefore, a parenthesis is used on its side as parentheses are always used wherever $\infty$ is used.
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