4-5 Inequalities (pages 172-175)

P6 Represent inequalities on a number line or a coordinate plane.

Inequalities

WordsIs less than

Is greater

than

Is less than or equal to

OR at Most

Is greater than or equal to OR is at

least

Symbols

On number line

<Open circle

>Open circle

≤ Closed

circle

≥Closed circle

What do the following mean?

1) a > 5 2) t ≥ 2/3

What are some examples that make each true?

What are some examples that make each false?

Draw a number line to represent the solutions

Examples

Solve the following inequalities and graph the solutions on a number line

1) 4x + 5 < 21 2) 2x - 6 ≥ 5

You Try…

275 x

Write an inequality for each sentence. Then solve the inequality.Eight times a number is less than 24.

Eight less than a number is greater than or equal to 12.

248 x

8

24

8

8x

3x

128 y+ 8 + 8

20y