Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-2 Solving Inequalities Using Addition or Subtraction - Practice and Problem-Solving Exercises - Page 175: 60



Work Step by Step

$\frac{5}{8}+v-\frac{7}{16}\gt0$ $\mathrm{Group\:like\:terms}$ $v+\frac{5}{8}-\frac{7}{16}>0$ $\mathrm{Least\:Common\:Multiplier\:of\:}8,\:16:\quad 16$ $\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}$ $\mathrm{For}\:\frac{5}{8}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:2$ $\frac{5}{8}=\frac{5\cdot \:2}{8\cdot \:2}=\frac{10}{16}$ $v+\frac{10}{16}-\frac{7}{16}>0$ $v+\frac{3}{16}>0$ $\mathrm{Subtract\:}\frac{3}{16}\mathrm{\:from\:both\:sides}$ $v+\frac{3}{16}-\frac{3}{16}>0-\frac{3}{16}$ $Simplify$ $v>-\frac{3}{16}$
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