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: 19

Answer

$ p\leq 17$ The graph is shown below.

Work Step by Step

The given inequality is $\Rightarrow 10\geq 3p-2p-7$ Add like terms. $\Rightarrow 10\geq p-7$ Add $7$ to each side. $\Rightarrow 10+7\geq p-7+7$ Simplify. $\Rightarrow 17\geq p$ Hence, the solution is $ p\leq 17$. Use a close circle because $17$ is a solution. Shade the number line on the left side.
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