1. Solving Combined Inequalities
Chapter 3
Section 3.4

2. Objective
Students will find the solution sets of combined inequalities

3. Concept
2 inequalities put together with either the word and or the word or.

4. Concept
A conjunction is formed by joining sentences by using the word and. Example: -2 < x and x < 3 or -2 < x < 3

5. Concept
To solve a conjunction of two open sentences in a given variable, you find the values of the variable for which both sentences are true. The graph of a conjunction consists of the points in common between both sentences Towards middle

6. Concept
A disjunction is formed by joining sentences by using the word or. Example: x > -3 or x < -3

7. Concept
To solve a disjunction of two open sentences, you find the values of the variable for which at least one of the sentences is true. The graph consists of all points that are in the graph of both sentences. Towards outside

8. < or > open circle < or > closed circle
Concept
< or > open circle < or > closed circle

9. Concept
Remember that any time you multiply or divide by a negative number you still must change the direction of your inequality sign.

10. Example
-3 < x – 2 < 4

11. Example
-2 < x + 1 < 4

12. Example
2x – 1 < 3 or 3x > x + 10

13. Example
1 + 5x < -4 or 4x > x + 9

14. Questions

15. Assignment
Worksheet