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EXAMPLE 1

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. a. Graph x < 2 . The solutions are all real numbers greater than or equal to –1 .

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EXAMPLE 1

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  1. 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 a. Graph x < 2.

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

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

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

  5. 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 –5is not a solution. for Examples 1 and 2 GUIDED PRACTICE

  6. 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 3is a solution. for Examples 1 and 2 GUIDED PRACTICE

  7. 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. for Examples 1 and 2 GUIDED PRACTICE

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

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