## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 3 - Section 3.6 - Graphing Linear Inequalities in Two Variables - Exercise Set: 5

#### Answer

The ordered pair $(-5,1)$ is a solution, but the ordered pair $(0,2)$ is not a solution.

#### Work Step by Step

We replace $x$ with $0$ and $y$ with $2$ and see if a true statement results. $x \lt -y$ $(0) \lt -(2)$ $0 \lt -2$ False The ordered pair $(0,2)$ is not a solution since $0 \lt -2$ is a false statement. We replace $x$ with $-5$ and $y$ with $1$ and see if a true statement results. $x \lt -y$ $(-5) \lt -(1)$ $-5 \lt -1$ True The ordered pair $(-5,1)$ is a solution since $-5 \lt -1$ is a true statement.

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