Name _________________________
Algebra I
Date ____________
Unit 6 Day 5 Systems of Linear Inequalities
 Today we will graph systems of linear inequalities and determine whether an
ordered pair is a solution to a system of linear inequalities.
 By the end of class, you will be able to graph systems of linear inequalities and
determine where the solutions lie.
Warm up
Graph.
y<x+3
1
y≥- x+5
2
y≤2
x > -3
Steps for graphing systems of inequalities.
1) Graph one of the lines using ________ - __________ _____.
2) Remember _____ or _____ is a dashed line and _____ or _____ is a solid line.
3) Pick a _____ point.
4) __________ toward the test point if the inequality is true and shade __________
from the test point if the inequality is false.
5) __________ for the other line.
6) The _______________ is where the shadings cross.
In which graphs is (3, -1) a solution?
In which graphs is (2, 3) a solution?
Graph the following.
1) y < 2x + 1
1
3
y≥- x+4
3) 3x + y < 7
x≥2
2) y > -x + 2
y≤
2
x+5
3
4) y + x ≥ 4
y < 2x
You try
1) y ≤ -2x + 6
y>x–1
3) 2y – 8x > -4
2
3
y≤- x+5
2) 3y < x - 6
y ≥ -2