## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 6 - Systems of Equations and Inequalities - 6-6 Systems of Linear Inequalities - Practice and Problem-Solving Exercises - Page 403: 22

#### Answer

$y$ $\geq$ $-2x+2$ $y$ $\lt$ $3x-2$

#### Work Step by Step

The points $(0,2)$ and $(1,0)$.Find the slope: $m=\dfrac{2-0}{0-1}$ $m=-2$ The slope equation is $y=mx+b$ $y=mx+b$ $0=-2(1)+b$ $0=-2+b$ $2=b$ The equation is $y$ $\geq$ $-2x+2$ because $(0,0)$ is not included in the solution area. The points $(1,1)$ and $(2,4)$.Find the slope: $m=\dfrac{4-1}{2-1}$ $m=3$ The slope equation is $y=mx+b$ $y=mx+b$ $4=3(2)+b$ $4=6+b$ $-2=b$ The equation is $y$ $\lt$ $3x-2$ because $(0,0)$ is not included in the solution area.

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