College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.7 - Page 199: 149


Makes sense

Work Step by Step

Since the contestant has to win within the $20 \frac{+}{} 5$ minute time frame, he models it in the following manner: $$|x - 20| \leq 5$$ To solve this, we break it into its two components: $$x - 20 \leq 5$$ $$or$$ $$x-20 \geq -5$$ Solving each individually, we get the following: $$x \leq5 + 20$$ $$x \leq 25$$ $$or$$ $$x \geq -5 + 20$$ $$x\geq 15$$ which satisfies the condition that he win within the $15-25$ minute time frame.
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