Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.8 - Inequalities - 1.8 Exercises - Page 89: 21

Answer

The solution is $(-3,\infty)$
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Work Step by Step

$4x-7\lt8+9x$ Take $9x$ to the left side and $-7$ to the right side: $4x-9x\lt8+7$ $-5x\lt15$ Divide both sides by $-5$ and reverse the direction of the inequality: $\dfrac{-5x}{-5}\gt\dfrac{15}{-5}$ $x\gt-3$ Express using interval notation: The solution is $(-3,\infty)$
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