1. EXAMPLE 1
Graph simple inequalities
a. Graph x < 2.
The solutions are all real numbers
less than 2.
An open dot is used in the graph to indicate 2 is not a solution.

2. EXAMPLE 1
Graph simple inequalities
b. Graph x ≥ –1.
The solutions are all real numbers greater than or equal to –1.
A solid dot is used in the graph to indicate –1 is a solution.

3. EXAMPLE 2
Graph compound inequalities
a. Graph –1 < x < 2.
The solutions are all real numbers that are greater than –1 and less than 2.

4. EXAMPLE 2
Graph compound inequalities
b. Graph x ≤ –2 or x > 1.
The solutions are all real numbers that are less than or equal to –2 or greater than 1.

5. GUIDED PRACTICE
for Examples 1 and 2
Graph the inequality.
1. x > –5
The solutions are all real numbers greater than 5.
An open dot is used in the graph to indicate –5 is not a solution.

6. GUIDED PRACTICE
for Examples 1 and 2
Graph the inequality.
2. x ≤ 3
The solutions are all real numbers less than or equal to 3.
A closed dot is used in the graph to indicate 3 is a solution.

7. GUIDED PRACTICE
for Examples 1 and 2
Graph the inequality.
3. –3 ≤ x < 1
The solutions are all real numbers that are greater than or equalt to –3 and less than 1.

8. GUIDED PRACTICE
for Examples 1 and 2
Graph the inequality.
4. x < 1 or x ≥ 2
The solutions are all real numbers that are less than 1 or greater than or equal to 2.