Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Prerequisite Skills Diagnostic Test: 10

Answer

$p\gt\frac{3}{2}$

Work Step by Step

Write out equation $\frac{2}{3}(5p-3)\gt\frac{3}{4}(2p+1)$ Give both fraction coefficients the same common denominators $\frac{8}{12}(5p-3)\gt\frac{9}{12}(2p+1)$ Distribute $\frac{40}{12}p-\frac{24}{12}\gt\frac{18}{12}p+\frac{9}{12}$ Combine like terms $\frac{22}{12}p\gt\frac{33}{12}$ Isolate p by multiplying the entire inequality by $p$'s reciprocal $\frac{12}{22}(\frac{22}{12}p\gt\frac{33}{12})$ $p\gt\frac{33}{22}$ Simplify $p\gt\frac{3}{2}$
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