Algebra 1: Common Core (15th Edition)

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

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Practice and Problem-Solving Exercises: 10

Answer

28.5≤x≤29

Work Step by Step

Let x be the circumference of the ball. If x is between 28.5 in and 29 in, then x must be greater than 28.5 and less than 29. The word "inclusive" means the endpoints are part of the solution set, so the endpoints on the number line are solid circles, and the inequality operators include "or equal to." The compound inequality could be written as: x≥28.5 and x≤29 It is typical to reverse one of the inequalities so that the same operator is used in both. x≥28.5 and x≤29 becomes 28.5≤x and x≤29 which becomes 28.5≤x≤29
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