College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.5 - Solving Inequalities - 1.5 Assess Your Understanding - Page 127: 16


Interval Notation: $(-\infty, 0]$. Inequality Form: $x \le 0$.

Work Step by Step

The graph involves an open bracket. This means that the number where the bracket is located is included in the interval. The graph goes to the left of $0$ without bound. This means that the lower limit is $-\infty$. The graph covers all the numbers to the left of, and including $0$. This means that the interval is $(-\infty, 0]$. The inequality equivalent of this is $x \le 0$.
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