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: 29

Answer

$x \lt -8$ Please see image
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Work Step by Step

$ 4x+14 \lt 3x+6\qquad$ ...add $-14$ to each side of the inequality. $ 4x+14-14 \lt 3x+6-14\qquad$ ...simplify. $ 4x \lt 3x-8\qquad$ ...add $-3x$ to each side of the inequality. $ 4x-3x \lt 3x-8-3x\qquad$ ...simplify. $x \lt -8$ The solutions of the given inequality are all real numbers smaller than $-8$. Smaller numbers are to the left of $-8$. Use an open dot in the graph to indicate $-8$ is not a solution.
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