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 - Exercises - Page 271: 30

Answer

The graph is shown below.

Work Step by Step

The given inequality is $-x+4y\gt -12$ Graph $-x+4y=-12$. Use a dashed line because the inequality symbol is $ \gt$. Test $(0,0)$. $\Rightarrow -x+4y\gt -12$ $\Rightarrow -(0)+4(0)\gt -12$ $\Rightarrow 0+0\gt -12$ $\Rightarrow 0\gt -12$ Hence, $(0,0)$ is a solution, shade the half-plane that contains $(0,0)$.
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