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: 32

Answer

$x\geq 2$ Please see image
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Work Step by Step

$ 18+2x\leq 9x+4\qquad$ ...add $-9x$ to each side of the inequality. $ 18+2x-9x\leq 9x+4-9x\qquad$ ...simplify. $ 18-7x\leq 4\qquad$ ...add $-18$ to each side of the inequality. $ 18-7x-18\leq 4-18\qquad$ ...simplify. $-7x\leq-14\qquad$ ...divide each side of the inequality with $-7$. ...dividing with a negative inverts the inequality sign. $x\geq 2$ The solutions of the given inequality are all real numbers greater than or equal to $2$. Use a solid dot in the graph to indicate $2$ is a solution.
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