6.7 Graph Linear Inequalities
Warm­up
Tell whether the ordered pair is a solution of the equation.
1. x + 2y = 4; (2, ­1)
y
6
5
2. 4x + 3y = 22; (7, ­2)
4
3
2
Graph the equation y ­ 2x = 4
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
Jan 26­10:14 AM
Tell whether the ordered pair is a solution of the inequality. Answer yes or no.
x + y < ­4; (0, 0)
y ­ x > ­2; (­1, ­4)
4x ­ 7y > 28; (­2, 4)
2.8x + 4.1y < 1; (0, 0)
x > ­3; (­4, 0)
/4x ­ 1/3y < 6; (­8, 12)
3
Jan 26­10:19 AM
1
Graph the inequality
y > x + 3
y < 3x + 5
y
y
6
6
5
5
4
4
3
3
2
2
1
1
­6
­5
­4
­3
­2
­1
0
­1
x
x
1
2
3
4
5
6
­6
­5
­4
­3
­2
­1
0
­1
1
2
3
4
5
6
­2
­2
­3
­3
­4
­4
­5
­5
­6
­6
Jan 26­1:34 PM
x + y < ­8
x + 8y > 16
y
y
8
7
6
5
4
3
2
1
8
7
6
5
4
3
2
1
x
­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 ­10 1 2 3 4 5 6 7 8
­2
­3
­4
­5
­6
­7
­8
x
­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 ­10 1 2 3 4 5 6 7 8
­2
­3
­4
­5
­6
­7
­8
Jan 25­11:15 AM
2
2(x + 2) > 7y
­4y < 16x
y
y
6
7
6
5
5
4
4
3
3
2
2
1
1
x
­7 ­6 ­5 ­4 ­3 ­2 ­1 0
­1
1
2
3
4
5
6
7
­6
­5
­4
­3
­2
­1
x
0
­1
1
2
3
4
5
6
­2
­2
­3
­4
­3
­5
­4
­6
­5
­7
­6
Jan 26­1:42 PM
y < ­3
x > ­ 2
y
y
6
6
5
5
4
4
3
3
2
2
1
­6
­5
­4
­3
­2
­1
0
­1
1
x
1
2
3
4
5
6
­6
­5
­4
­3
­2
­1
0
­1
­2
­2
­3
­3
­4
­4
­5
­5
­6
­6
x
1
2
3
4
5
6
Jan 25­11:20 AM
3
Assignment
pg. 409­410
#4­46 EVEN
Jan 26­1:44 PM
4