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: 23

Answer

$(\frac{16}{3}, +\infty)$ Refer to the attached image below for the graph.
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Work Step by Step

For easier work, get rid of the fractions by multiplying the LCD of 6 to both sides to have: $\\6(\frac{1}{2}x - \frac{2}{3}) \gt 2(6) \\3x - 4 \gt 12 \\3x \gt 12+4 \\3x \gt 16$ Divide 4 to both sides to have: $\\x \gt \frac{16}{3}$
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