1. Inequalities and their Graphs
x>5
x>5
2
3 4 5 6
7
8

2. Inequalities and their
Graphs
Objective: To write and
graph simple inequalities with
one variable

3. Inequalities and their Graphs
What is a good definition
for Inequality?
An inequality is a statement that
two expressions are not equal
2
3 4 5 6
7
8

4. Inequalities and their Graphs
Terms you see and need to know
to graph inequalities correctly
< less than
> greater than
Notice
open
circles

5. Inequalities and their Graphs
Terms you see and need to know
to graph inequalities correctly
≤ less than or equal to
≥ greater than or equal to
Notice colored in circles

6. Inequalities and their Graphs
Let’s work a few together
x >3
Notice: when variable is
on left side, sign shows
direction of solution
3

7. Inequalities and their Graphs
Let’s work a few together
x<7
Notice: when variable is
on left side, sign shows
direction of solution
7

8. Inequalities and their Graphs
Let’s work a few together
p ≤ −2
Notice: when variable is
on left side, sign shows
direction of solution
-2
Color in
circle

9. Inequalities and their Graphs
Let’s work a few together
x≥8
Color in circle
Notice: when variable is
on left side, sign shows
direction of solution
8

10. Try this one on your own
x > 12

11. 12

12. On your Own
s < 12

13. 12

14. On your Own
m≥2

15. 2

16. Answer 1 through 5
1.
b ≤ −6

17. On your Own
2.
x > 10

18. On your Own
3.
p > − 15

19. On your Own
4.
g ≥ 25

20. On your Own
5.
x < 13

21. Answers: 1 through 5
1.
2.
10
-6
3.
4.
25
-15
5.
13

22. Answer 6 through 10
6.
b ≤ -7

23. On your Own
7.
a>8

24. On your Own
8.
q ≥ -5

25. On your Own
9.
s < 14

26. On your Own
10.
m≥8

27. Answers: 6 through 10
6.
7.
-7
8.
8
9.
-5
14
10.
8

28. Graphing
Inequalities
Excellent Job !!! Well Done