Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - 6-5 Linear Inequalities - Got It? - Page 397: 5


$y \lt \frac{1}{3}x -2$

Work Step by Step

The slope of the line is $\frac{1}{3}$ and the y-intercept is $-2$, so the equation of the boundary line is $y = \frac{1}{3}x -2$. The boundary line is dashed, so the inequality symbol is either $\lt$ or $\gt$. The symbol must be $\lt$, because the region below the boundary line is shaded. The inequality is $y \lt \frac{1}{3}x -2$.
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