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

$\text{Set Builder Notation: } \left\{ y|y\gt3 \right\} \\\text{Interval Notation: } \left( 3,\infty \right)$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $2+6y\gt20 .$ 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} 2+6y\gt20 \\\\ 6y\gt20-2 \\\\ 6y\gt18 \\\\ y\gt\dfrac{18}{6} \\\\ y\gt3 .\end{array} Hence, the solution set is \begin{array}{l}\require{cancel} \text{Set Builder Notation: } \left\{ y|y\gt3 \right\} \\\text{Interval Notation: } \left( 3,\infty \right) .\end{array}