1. Compound Inequalities
AKA: Compound Inequalities
Lesson 4-8

2. Math Vocabulary Review
Inequality: A math sentence or statement that compares (<, >, <, >) a point/points on a number line 5 > m Compound Inequality: Two inequalities that are joined by the word and or the word or. and: 32 < t < 40 or: 32 < t or t > 40

3. Example 1 “AND” -4 < r – 5 < -1 +5 + 5 +5 1 < r < 4
1 < r < 4
*the process to solve one side [of a normal inequality], is used to solve ALL parts of a compound inequality
Graph:  

4. Example 2
“AND” r + 8 > -1 and 3r < r > -9 and r < 1 Graph:  

5. *two separate inequalities to solve & graph
Example 3
“OR”
4v + 3 < OR -2v + 7 < 1
4v < OR v < -6
v < OR v > 3
*two separate inequalities to solve & graph
Graph:  

6. *two separate inequalities to solve & graph
Example 4
“OR”
v – 3 < OR v – 3 > 4
v < OR v > 7
*two separate inequalities to solve & graph
Graph:  

7. Practice
Solve & Graph
-3 < z – 1 < 6  
0 < -8b and -4b <  
7t > or 2t < -4  

8. Homework
p. 198 #3-6, (skip 16, 18, 19)