Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 3 - Section 3.6 - Graphing Linear Inequalities in Two Variables - Exercise Set: 2

Answer

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

Work Step by Step

We replace $x$ with $2$ and $y$ with $1$ and see if a true statement results. $y-x \lt -2$ $(1)-(2) \lt -2$ $1-2 \lt -2$ $-1 \lt -2$ False The ordered pair $(2,1)$ is not a solution since $-1 \lt -2$ is a false statement. We replace $x$ with $5$ and $y$ with $-1$ and see if a true statement results. $y-x \lt -2$ $(-1)-(5) \lt -2$ $-1-5 \lt -2$ $-6 \lt -2$ True The ordered pair $(5,-1)$ is a solution since $-6 \lt -2$ is a true statement.
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