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: 4

Answer

The ordered pairs $(0,11)$ and $(10,0)$ are solutions.

Work Step by Step

We replace $x$ with $0$ and $y$ with $11$ and see if a true statement results. $2x+y \geq 10$ $2(0)+(11) \geq 10$ $0+11 \geq 10$ $11 \geq 10$ True The ordered pair $(0,11)$ is a solution since $11 \geq 10$ is a true statement. We replace $x$ with $5$ and $y$ with $0$ and see if a true statement results. $2x+y \geq 10$ $2(5)+(0) \geq 10$ $10+0 \geq 10$ $10 \geq 10$ True The ordered pair $(5,0)$ is a solution since $10 \geq 10$ is a true statement.
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