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: 121

Answer

At least 96.

Work Step by Step

First, let $x$ be the grade on the final examination. Then from the asked problem we have the inequality: $ \frac{86+88+x}{3} \geq 90$ Next, all we have to do is solve the inequality. $ \frac{86+88+x}{3} \geq 90$ Multiply with $3$ on both sides. $ \frac{86+88+x}{3}\times3 \geq 90\times3$ $86+88+x \geq 270$ $174+x \geq 270$ Subtract $174$ on both sides. $174+x -174 \geq 270-174$ $ x \geq 96$ Which is our solution.
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