EXAMPLE 1 Graph simple inequalities a. Graph x < 2.

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Presentation transcript:

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 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 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 > 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 > –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 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.

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 or x ≥ 2 The solutions are all real numbers that are less than 1 or greater than or equal to 2.