Basic Inequality Rules • If A > B

• Then A+/-C > B +/-C• Example

• 8 >7 so 8+2 >7+2• If A < B

• Then A +/-C < B +/-C• Example

• 5 < 7 so 5-2 < 7-2

• If A > B• Then A*/÷C > B*/÷ C

• Example• 8 >7 so 8*2 >7*2

• If A < B• Then A*/÷C < B*/÷C

• Example• 6 < 8 so 6÷2 < 8÷ 2

Objective- To solve and graph simple inequalities involving addition/subtraction.

Equations InequalitiesSolve and graph. Solve and graph.

x 2 5 2 2 x 3

-3 -2 -1 0 1 2 3 4

One Solution

x 2 5 2 2 x 3

-3 -2 -1 0 1 2 3 4

Infinite Solutions

Graph the following inequalities.

1)

2)

3)

4)

x 2

x 3

x 2

x 1

-3 -2 -1 0 1 2 3 4

-3 -2 -1 0 1 2 3 4

-3 -2 -1 0 1 2 3 4

-3 -2 -1 0 1 2 3 4

Solve and graph the inequalities.

1) 2)3 x 7 4 x 6 3 3

x 10

-10 0 10-1 0 1 2 3

6 6 2 xx 2

Solve and graph the inequalities.

3) 4)5 8 k 3 p 9 8 8

13 k

-13 0 0 12

3 3 p 12

k 13