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: 12

Answer

$0\gt x\geq 3$ Please see image
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Work Step by Step

$3x-1 \lt -1$ or $ 2x+5\geq 11\qquad$ ...solve each inequality separately. $3x-1 \lt -1 \qquad$ ...add $1$ to each side of the inequality. $ 3x-1+1 \lt -1+1\qquad$ ...simplify. $ 3x \lt 0\qquad$ ...divide with $3$. $x \lt 0$ $ 2x+5\geq 11\qquad$ ...add $-5$ to each side of the inequality. $ 2x+5-5\geq 11-5\qquad$ ...simplify. $ 2x\geq 6\qquad$ ...divide with $2$. $x\geq 3$ The solutions are all real numbers that are less than $0$ and greater or equal to $3$. Use an open dot in the graph to indicate $0$ is not a part of the solution and a solid dot to indicate that $3$ is a solution.
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