Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 4 - Section 4.2 - Compound Inequalities - Exercise Set - Page 274: 74



Work Step by Step

Consider the average of all the scores. $80 \leq \dfrac{82+75+80+90+2x}{5} \lt 90$ This implies $(80)(5) \leq 327+2x \lt (90)(5)$ or, $400 \leq 327+2x \lt 450$ or, $76.5 \leq x \lt 106.5$ Our result is: $[76.5,106.5)$
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