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Bell Ringer

• Use the < and > symbols to complete the inequality.

• 5 ___ 2

• 10 ____ -10

• -6 _____ -9

• -16 ______ 12

• 27 _______ -3

• 19 _____ -7

4.1 Inequalities and Their Graphs

Inequalities

Math sentences containing

< , > , ≤ , ≥

< “is less than”

> “is greater than”

≤ “ is less than or equal to”

≥ “is greater than or equal to”

Example

Determine whether each number is a solution of x ≥ 5. (Is it true?)

5

12

- 7

15

3

2

0

Example

Determine whether each number is a solution of x < 3. (Is it true?)

7

9

3

-2

Example

Determine whether each number is a solution of x ≤ 7. (Is it true?)

Graphing Inequalities

1. Circle the number

≤ , ≥ , = use filled in circle

< , > use empty circle

2. Shade in number line for solutions

**Arrows point to which way to shade**

Example

Graph x < 2 on a number line.

**-5 0 5**

Example

Graph x ≥ -3 on a number line.

**-5 0 5**

Example

Graph x ≤ 6 on a number line.

**-5 0 5**

Example

Graph x > 0 on a number line.

**-5 0 5**

Practice

• Pg 173 #1-20 all