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

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter R - Elementary Algebra Review - R.2 Equations, Inequalities, and Problem Solving - R.2 Exercise Set - Page 947: 47


$\text{Set Builder Notation: } \left\{ y|y\gt10 \right\} \\\text{Interval Notation: } \left( 10,\infty \right)$

Work Step by Step

Using the properties of inequality, then \begin{array}{l}\require{cancel} 2y-7\gt13 \\\\ 2y\gt13+7 \\\\ 2y\gt20 \\\\ y\gt\dfrac{20}{2} \\\\ y\gt10 .\end{array} Hence, the solution set is \begin{array}{l}\require{cancel} \text{Set Builder Notation: } \left\{ y|y\gt10 \right\} \\\text{Interval Notation: } \left( 10,\infty \right) .\end{array}
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