Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.5 - Systems of Inequalities - Concept and Vocabulary Check - Page 862: 1

Answer

The ordered pair $\left( 3,2 \right)$ is a solution of the inequality $x+y>1$ because when 3 is substituted for x and 2 is substituted for y, the true statement $5>1$ is obtained.

Work Step by Step

Let us consider an ordered pair $\left( 3,2 \right)$ in the inequality $x+y>1$ and check whether it satisfies the inequality. $\begin{align} & x+y=3+2 \\ & =5 \end{align}$ $5$ is greater than $1$. Therefore, an ordered pair $\left( 3,2 \right)$ is a solution of $x+y>1$.
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