This document contains notes on compound inequalities in algebra. It explains that for inequalities combined with "and", the values of x that satisfy both inequalities are graphed as the intersection. For inequalities combined with "or", the values of x that satisfy either inequality are graphed. Several examples of compound inequalities are given and practiced.

1. Alg 1 day 40 TF compound intro 3.5.doc

2. DO NOW
Please complete the FRONT side of the
handout (T/F).
Please DO NOT start the other side.

3. Agenda
11/1
Do Now
Quarterly results
Notebook quiz tomorrow!
Homework 26
p. 163 - 165 # 1 - 4, 21, 22, 34 - 37

4. F
T
T
T
T
T
F
F
F
F
F

6. COMPOUND INEQUALITIES ...
... with "AND"
·graph the intersection of each inequality
·all values of x which make both inequalities true
... with "OR"
·graph both
·all values of x which make either inequality true
Click for Example
Click for Example

7. x < 4 and x > -2
graph all #s that satisfy both inequalities
10 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10
Another way to write this:
-2 < x < 4
PRACTICE

8. x ≥ 2 or x ≤ -1
graph both
-1 0-2-3-4-5 1 2 3 4 5
PRACTICE

9. x > -2 and x < 4
5 < n ≤ 10
m ≥ 0 and m ≤ 7
-8 ≤ p < -4
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10
BACK

10. x < 4 or x > 8
x >5 or x < 0
m ≤ 3 or m ≥ 6
n < 2 or n ≥ 8
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
MORE

11. What is the inequality?
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
10 2 3 4 5 6 7 8 9 10-1-
2
-3-4-5-6-7-8-9-10
x < - 5 or x > 0
x ≥ - 4 and x ≤
x < - 6 or x > 2
x > - 6 and x ≤
3
- 4 ≤ x ≤ 3
- 6 < x ≤ 3

12. Attachments
Alg 1 day 40 TF compound intro 3.5.doc