EXAMPLE 1 Graph simple inequalities a Graph x

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EXAMPLE 1 Graph simple inequalities a. Graph x < 2. The solutions are all

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.

EXAMPLE 1 Graph simple inequalities b. Graph x ≥ – 1. The solutions are

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.

EXAMPLE 2 Graph compound inequalities a. Graph – 1 < x < 2. The

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.

EXAMPLE 2 Graph compound inequalities b. Graph x ≤ – 2 or x >

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.

GUIDED PRACTICE for Examples 1 and 2 Graph the inequality. 1. x > –

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.

GUIDED PRACTICE for Examples 1 and 2 Graph the inequality. 2. x ≤ 3

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 2 is a solution.

GUIDED PRACTICE for Examples 1 and 2 Graph the inequality. 3. – 3 ≤

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.

GUIDED PRACTICE for Examples 1 and 2 Graph the inequality. 4. x < 1

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.