1. Bell Ringer Use the < and > symbols to complete the inequality.
5 ___ 2
10 ____ -10
-6 _____ -9
-16 ______ 12
27 _______ -3
19 _____ -7

2. 4.1 Inequalities and Their Graphs

3. Math sentences containing
Inequalities
Math sentences containing
< , > , ≤ , ≥
< “is less than”
> “is greater than”
≤ “ is less than or equal to”
≥ “is greater than or equal to”

4. Example
Determine whether each number is a solution of x ≥ 5. (Is it true?) 5 12 7

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

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

7. Graphing Inequalities
Circle the number
≤ , ≥ , = use filled in circle
< , > use empty circle
Shade in number line for solutions
Arrows point to which way to shade

8. Graph x < 2 on a number line.
Example
Graph x < 2 on a number line.

9. Graph x ≥ -3 on a number line.
Example
Graph x ≥ -3 on a number line.

10. Graph x ≤ 6 on a number line.
Example
Graph x ≤ 6 on a number line.

11. Graph x > 0 on a number line.
Example
Graph x > 0 on a number line.

12. Practice
Pg 173 #1-20 all