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

$-5\le x\lt7$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $-3\le x+2\lt9 .$ Then graph. In the graph above, a hollowed dot is used for $\lt$ or $\gt$. A shaded dot is used for $\le$ or $\ge.$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given equation is equivalent to \begin{array}{l}\require{cancel} -3\le x+2\lt9 \\\\ -3-2\le x+2-2\lt9-2 \\\\ -5\le x\lt7 .\end{array} The graph includes the points from $-5$ (inclusive) to $7$ exclusive.