EXAMPLE 1

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# EXAMPLE 1 - PowerPoint PPT Presentation

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 &lt; 2 . The solutions are all real numbers greater than or equal to –1 .

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Presentation Transcript

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.

A solid dot is used in the graph to indicate –1is a solution.

EXAMPLE 1

Graph simple inequalities

b. Graph x ≥ –1.

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.

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.

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

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

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

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