Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-5 Solving Inequalities - Practice and Problem-Solving Exercises - Page 39: 45

Answer

$z\geq6$
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Work Step by Step

$2-3z\geq7(8-2z)+12$ Step 1 (Distribute): $2-3z\geq56-14z+12$ Step 2 (Combine like terms): $2+11z\geq56+12$ (Added $14z$ to both sides) $2+11z\geq68$ (Combined $56 + 12$) $11z\geq66$ (Subtracted $2$ from both sides) Step 3 (Divide each side by 11); $11z\geq66$ $z\geq6$ Final step: When graphing $z\geq6$, be sure to point the arrow from $6$ towards higher values and that the circle is solid since it is $\geq$.
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