Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Test: 14

Answer

The solution set is {n|n $\geq$ 12} , or [12,$\infty$) in interval notation.

Work Step by Step

$\frac{1}{2}$n + 2 $\leq$ $\frac{3}{4}$n - 1 Subtract $\frac{1}{2}$n from both sides. 2 $\leq$ $\frac{3}{4}$n -$\frac{1}{2}$n - 1 Add 1 to both sides. 3 $\leq$ $\frac{3}{4}$n -$\frac{1}{2}$n 3 $\leq$ $\frac{3}{4}$n -$\frac{1\ \times 2}{2\ \times\ 2}$n 3 $\leq$ $\frac{3}{4}$n -$\frac{2}{4}$n 3 $\leq$ $\frac{1}{4}$n Multiply both sides by 4. 12 $\leq$ n The solution set is {n|n $\geq$ 12} , or [12,$\infty$) in interval notation.
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