Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-1 Inequalities and Their Graphs - Practice and Problem-Solving Exercises - Page 168: 18



Work Step by Step

Graph a blank number line and label the intervals accordingly. In $x\geq-1$, $-1$ is a solution because it states that $x$ is greater than OR EQUAL TO $-1$, so when graphing the inequality, there needs to be a closed circle at the point $-1$. The numbers less than $-1$ are to the left of $-1$ on the number line, and the numbers greater than $-1$ are to the right of $-1$ on the number line. Because the inequality states that $x$ is greater than or equal to $-1$, we shade to the right of our point of $-1$. The graph we are left with matches answer choice B.
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