Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.9 - Linear Inequalities and Absolute Value Inequalities - Exercise Set - Page 140: 119

Answer

The highest number of bags is 29. $ x \leq 29$

Work Step by Step

First, let $x$ be the number of bags we can lift in one trip safely. Then from the asked problem we have inequality: $ 3000 - (245 + 95x) \geq 0$ Next, all we have to do is solve the inequality. $ 3000 - (245 + 95x) \geq 0$ $ 3000 - 245 - 95x \geq 0$ Add $95x$ on both sides. $ 2755- 95x + 95x \geq 0 + 95x$ $ 2755 \geq 95x$ Divide with $95$ on both sides. $ \frac{2755}{95} \geq \frac{95}{95}x$ $ 29 \geq x$ or we can also write: $ x \leq 29$ Which is our solution.
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