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 - Page 263: 6

Answer

The ordered pair $(1,4)$ is a solution, but the ordered pair $(0,0)$ is not a solution.

Work Step by Step

We replace $x$ with $0$ and $y$ with $0$ and see if a true statement results. $y \gt 3x$ $(0) \gt 3(0)$ $0 \gt 0$ False The ordered pair $(0,0)$ is not a solution since $0 \gt 0$ is a false statement. We replace $x$ with $1$ and $y$ with $4$ and see if a true statement results. $y \gt 3x$ $(4) \gt 3(1)$ $4 \gt 3$ True The ordered pair $(1,4)$ is a solution since $4 \gt 3$ is a true statement.
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