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 - Chapter Review - Page 284: 19

Answer

The graph is shown below.

Work Step by Step

The given inequality is $5x+10y\lt 40$ Graph $5x+10y=40$. Use a dashed line because the inequality symbol is $ \lt$. Test $(0,0)$. $\Rightarrow 5x+10y\lt 40$ $\Rightarrow 5(0)+10(0)\lt 40$ $\Rightarrow 0+0\lt 40$ $\Rightarrow 0\lt 40$ True. Hence, $(0,0)$ is a solution, shade the half-plane that contains $(0,0)$.
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