Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 5 - Solving Systems of Linear Equations - 5.7 - Systems of Linear Inequalities - Exercises - Page 278: 20

Answer

The graph is shown below.

Work Step by Step

The given system of linear inequalities is. $\Rightarrow x+y\leq 10$ ...... (1) $\Rightarrow x-y\geq 2$ ...... (2) $\Rightarrow y\gt 2$ ...... (3) Graph each inequality. The intersection of the half-planes that are solutions of the inequalities is the graph of the system. One solution of the system is $(6,3)$.
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