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 - Practice: 1

Answer

a. The ordered pair $(-3,2)$ is not a solution. b. The ordered pair $(9,0)$ is a solution.

Work Step by Step

a. We replace $x$ with $-3$ and $y$ with $2$ and see if a true statement results. $x-4y \gt 8$ $(-3)-4(2) \gt 8$ $-3-8 \gt 8$ $-11 \gt 8$ False The ordered pair $(-3,2)$ is not a solution, since $-11 \gt 8$ is a false statement. b. We replace $x$ with $9$ and $y$ with $0$ and see if a true statement results. $x-4y \gt 8$ $(9)-4(0) \gt 8$ $9-0 \gt 8$ $9 \gt 8$ True The ordered pair $(9,0)$ is a solution, since $9 \gt 8$ is a true statement.
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