Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - 1.6 Solve Inequalities - Guided Practice for Examples 5,6, and 7 - Page 44: 9


$-4 \lt x \lt 6$ Please see image

Work Step by Step

$-1 \lt 2x+7 \lt 19\qquad$ ...add $-7$ to each part of the inequality. $-1-7 \lt 2x+7-7 \lt 19-7\qquad$ ...simplify. $-8 \lt 2x \lt 12\qquad$ ...divide with $-2$. $-4 \lt x \lt 6$ The solutions of the given inequality are all real numbers greater than $-4$ and smaller than $6$. Use open dots in the graph to indicate $-4$ and $6$ are not solutions.
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