Algebra 1

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

Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Practice and Problem-Solving Exercises: 18

Answer

$c\lt2$

Work Step by Step

$-(7c-18)-2c\gt0$ $\longrightarrow$ multiply (by -1) using the distributive property $-7c+18-2c\gt0$ $\longrightarrow$ combine like terms $-9c+18\gt0$ $\longrightarrow$ subtract 18 from both sides $-9c+18-18\gt0-18$ $\longrightarrow$ simplify $-9c\gt-18$ $\longrightarrow$ divide both sides by -9; reverse the inequality sign $-9c\div-9\lt-18\div-9$ $\longrightarrow$ simplify $c\lt2$ Check inequality $-(7(0)-18)-2(0)\gt0$ $-(0-18)-0\gt0$ $-(-18)\gt0$ $18\gt0\checkmark$
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