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