Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Lesson Check: 7

Answer

$x\leq7$ or $x\gt7$ $(-\infty,\infty)$

Work Step by Step

Solve each inequality. $3x-7\leq14\longrightarrow$ add 7 to each side $3x-7+7\leq14+7\longrightarrow$ add $3x\leq21\longrightarrow$ divide each side by 3 $3x\div3\leq21\div3\longrightarrow$ divide $x\leq7$ OR $4x-8\gt20\longrightarrow$ add 8 to each side $4x-8+8\gt20+8\longrightarrow$ add $4x\gt28\longrightarrow$ divide each side by 4 $4x\div4\gt28\div4\longrightarrow$ divide $x\gt7$ Since x can be less than 7, equal to 7, or greater than 7, the solution set for x is all real numbers.
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