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: 28


$x\gt 3$ Please see image

Work Step by Step

$ 2x-6\gt 3-x\qquad$ ...add $x$ to each side of the inequality. $ 2x-6+x\gt 3-x+x\qquad$ ...simplify. $ 3x-6\gt 3\qquad$ ...add $6$ to each side of the inequality. $ 3x-6+6\gt 3+6\qquad$ ...simplify. $ 3x\gt 9\qquad$ ...divide with $3$. $x\gt 3$ The solutions of the given inequality are all real numbers greater than $3$. Greater numbers are to the right of $3$. Use an open dot in the graph to indicate $3$ is not a solution.
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