Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 2 - Solving Linear Inequalities - 2.2 - Solving Inequalities Using Addition or Subtraction - Monitoring Progress - Page 63: 5

Answer

$z\geq \frac{2}{3} $

Work Step by Step

We are given the inequality $$\frac{5}{6} \leq z + \frac{1}{6}.$$ Subtract $\frac{1}{6}$ from both sides $$\frac{4}{6} \leq z .$$ Simplify $$\frac{2}{3} \leq z.$$ The graph will represent all numbers greater than or equal to $\frac{2}{3}\approx 0.67$. The graph is drawn with a closed circle at $0.67$ and a line extending to the right of $0.67$.
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