Introduction to inequalities

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 Notice
open
> greater than 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
Notice: when variable is
on left side, sign shows
x >3 direction of solution
3

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

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

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

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
b ≤ −6
1.

17. On your Own
x > 10
2.

18. On your Own
p > − 15
3.

19. On your Own
g ≥ 25
4.

20. On your Own
x < 13
5.

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

22. Answer 6 through 10
b ≤ -7
6.

23. On your Own
a>8
7.

24. On your Own
q ≥ -5
8.

25. On your Own
s < 14
9.

26. On your Own
m≥8
10.

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

28. Graphing
Inequalities
Excellent Job !!! Well Done