Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.9 Interval Notation; Solving Inequalities - A.9 Assess Your Understanding - Page A79: 18

Answer

Interval notation : $\quad(-\infty,0]$ Inequality : $\quad x\leq 0$

Work Step by Step

Right bracket indicates that $0$ is part of the graph. The shaded region is to the left of $0$ thus, the half open interval is $(-\infty,0]$. It consists of all real numbers $x$ that are less than or equal to $0$. Hence, the interval notation is $x\leq0 $.
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