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: 26

Answer

The graph is shown below.

Work Step by Step

The given inequality is $y\leq3x-1$ Graph $y=3x-1$. Use a solid line because the inequality symbol is $ \leq$. Test $(0,0)$. $\Rightarrow y\leq 3x-1$ $\Rightarrow 0\leq 3(0)-1$ $\Rightarrow 0\leq 0-1$ $\Rightarrow 0\leq - 1$ Hence, $(0,0)$ is not a solution, shade the half-plane that does not contain $(0,0)$.
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