## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 2 - Equations, Inequalities, and Problem Solving - Test: Chapter 2 - Page 151: 12

#### Answer

$\text{Set Builder Notation: } \left\{ x|x\gt-13 \right\} \\\text{Interval Notation: } \left( -13,\infty \right)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $14x+9\gt13x-4 .$ Write the answer in both set-builder notation and interval notation. $\bf{\text{Solution Details:}}$ Using the properties of inequality, the inequality above is equivalent to \begin{array}{l}\require{cancel} 14x+9\gt13x-4 \\\\ 14x-13x\gt-4-9 \\\\ x\gt-13 .\end{array} Hence, the solution set is \begin{array}{l}\require{cancel} \text{Set Builder Notation: } \left\{ x|x\gt-13 \right\} \\\text{Interval Notation: } \left( -13,\infty \right) .\end{array}

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