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Warm Up

1 11. 2 2

3 32. 2 3

22 3 3

1

Graph

y x m b

y x

y x m b

Example 1

Check whether the ordered pair is a solution of 2x – 3y > -2

a. (0,0) 2(0)-3(0)> -2 0> -2 True

b. (0,1) 2(0)-3(1)> -2 -3> -2 False

c. (2,-1) 2(2)-3(-1)> -2 7> -2 True

Toolkit Graphing Inequalities

Example 2 Graph x<-2

x < -2 is a vertical line.

Dashed

Check (0,0)0<-2 false

Example 3 graph y< 1

y < 1 is a horizontal line.Solid

Check (0,0)0 < 1 true

Toolkit Graphing Inequalities3

14

(0,0)

30 (0) 1

40 1

m b

Dashed

Test

false

Find the slope and y-intercept

Dashed or solid

Test a point and shade

Graphing a Linear Inequality in Two VariablesGraphing a Linear Inequality in Two VariablesSketch the graph of the inequality.

43 .1 xy 4

Solid line

0 0,check

400 40

1

43graph xy

Graphing a Linear Inequality in Two VariablesGraphing a Linear Inequality in Two VariablesSketch the graph of the inequality.

3 .2 xy 3

3graph xyDotted line

0 0,check

300 30

1

1

Graph each inequality on a separate coordinate plane.

13 .4 xy 1

Solid line

0 0,check

100 10

1

13graph xy

Solve each inequality for Solve each inequality for yy..

34 .1 yxx4 x4

y xy 2 .2

1y

1x2

34 x

10 xy

Graph each inequality on a separate coordinate plane.

10 .5 yx

10Dotted line

0 0,check

100

x xy 10 x

1

1

50 xy

Graph each inequality on a separate coordinate plane.

5 .6 y

5

Solid line

0 0,check

50

1

Try these.

1. 4

2. 6 5

3. 3 9

x

y

x y