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 5 - Solving Systems of Linear Equations - 5.6 - Graphing Linear Inequalities in Two Variables - Monitoring Progress - Page 268: 4

Answer

$(5,-7)$ is a solution of the inequality.

Work Step by Step

The given inequality is $\Rightarrow -2x-3y\lt 15$ Substitute $5$ for $x$ and $-7$ for $y$. $\Rightarrow -2(5)-3(-7)\lt 15$ Simplify. $\Rightarrow -10+21\lt 15$ $\Rightarrow 11\lt 15$ True. Hence, $(5,-7)$ is a solution of the inequality.
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