Algebra 2 Common Core

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

Chapter 1 - Expressions, Equations, and Inequalities - Chapter Review - Page 52: 22


$z \leq 2/5$ Refer to the graph below.

Work Step by Step

$4-5z \ge 2 \\-5z \ge 2-4 \\-5z \ge -2$ $\\\frac{-5z}{-5} \le \frac{-2}{-5} \\z \le \frac{2}{5}$ (A negative number was divided to both sides of the inequality so we flip the sign) Since the inequality involved is $\le$ then the graph will involve a solid dot. Since the inequality is $z \le \frac{2}{5}$, then it will start at $\frac{2}{5}$ and go infinitely to the left.
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