Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.4 - Linear Inequalities and Problem Solving - Exercise Set - Page 86: 70a

Answer

$x\lt7.18$

Work Step by Step

Let $x$ be the time of the last trial. The conditions of the problem translate to \begin{array}{l}\require{cancel} \dfrac{6.85+7.04+6.93+x}{4}\lt7.0 .\end{array} Using the properties of inequality, then \begin{array}{l}\require{cancel} 4\cdot\dfrac{6.85+7.04+6.93+x}{4}\lt4\cdot7.0 \\\\ 6.85+7.04+6.93+x\lt28 \\\\ 20.82+x\lt28 \\\\ x\lt28-20.82 \\\\ x\lt7.18 .\end{array}
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