Ch 6.1

Objective:

To solve and graph simple inequalities involving addition/subtraction.

Inequality Symbols

< symbol for “less than”

≤ symbol for “less than or equal”

> symbol for “greater than”

≥ symbol for “greater than or equal”

= symbol for “equal”

Graph of an Inequality

A line graph only uses the “x”-axis

Closed

(solid dot) represents “equal” on a graph

Open

(circle dot) represents “NOT equal” on a graph

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

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

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 x

x 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