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 - Exercises - Page 65: 28

Answer

The second step is wrong, the correct solution is $x\geq 1$. The correct graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow -10+x\geq -9$ Add $10$ to each side. $\Rightarrow -10+x+10\geq -9+10$ Simplify. $\Rightarrow x\geq 1$ Use a close circle because $1$ is a solution. Shade the number line on the right side. Hence, the second step is wrong, the correct solution is $x\geq 1$.
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