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: 27



Work Step by Step

Graph a blank number line and label the intervals accordingly. In $8\geq b$, $8$ is a solution because it states that $8$ is greater than OR EQUAL TO $b$. So, when graphing the inequality, there needs to be a closed circle at the point $8$. The numbers less than $8$ are to the left of $8$ on the number line, and the numbers greater than $8$ are to the right of $8$ on the number line. Because the inequality states that $8$ is greater than or equal to $b$, we shade to the left of our point of $8$.
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