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 - Chapter Review - Page 95: 17

Answer

$ n\geq 1$ The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow 7-3n \leq n+3$ Add $3n-3$ to each side. $\Rightarrow 7-3n+3n-3 \leq n+3+3n-3$ Simplify. $\Rightarrow 4 \leq 4n$ Divide each side by $4$. $\Rightarrow \frac{4}{4} \leq \frac{4n}{4}$ Simplify. $\Rightarrow 1 \leq n$ Hence, the solution is $ n\geq 1$. Use a close circle because $1$ is a solution. Shade the number line on the right side.
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