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 - 2.5 - Solving Compound Inequalities - Exercises - Page 86: 36

Answer

The equation has no solution. The graph is shown below.

Work Step by Step

The given equation is $\Rightarrow 7|5p-7|=-21$ Divide each side by $7$. $\Rightarrow \frac{7|5p-7|}{7}=\frac{-21}{7}$ Simplify. $\Rightarrow |5p-7|=-3$ The absolute value of an expression must be greater than or equal to zero. The expression $|5p-7|$ cannot equal $-3$. So, the equation has no solution.
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