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 - 1.6 Exercises - Skill Practice - Page 45: 30

Answer

$x\leq 7$ Please see image
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Work Step by Step

$ 5-8x\leq 19-10x\qquad$ ...add $10x$ to each side of the inequality. $ 5-8x+10x\leq 19-10x+10x\qquad$ ...simplify. $ 5+2x\leq 19\qquad$ ...add $-5$ to each side of the inequality. $ 5+2x-5\leq 19-5\qquad$ ...simplify. $ 2x\leq 14\qquad$ ...divide with $2$. $x\leq 7$ The solutions of the given inequality are all real numbers less or equal to $7$. Smaller numbers are to the left of $7$. Use a solid dot in the graph to indicate $7$ is a solution.
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