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 - 5.6 - Graphing Linear Inequalities in Two Variables - Monitoring Progress - Page 269: 7

Answer

The graph is shown below.

Work Step by Step

The given inequality is $x+y\leq-4$ Graph $x+y=-4$. Use a solid line because the inequality symbol is $ \leq$. Test $(0,0)$. $\Rightarrow x+y\leq-4$ $\Rightarrow 0+0\leq-4$ $\Rightarrow 0\leq-4$ Hence, $(0,0)$ is not a solution, shade the half-plane that does not contain $(0,0)$.
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