The document discusses a unit on solving inequalities. It introduces interval notation, provides examples of writing intervals, and has students practice writing the notation for intervals. It then covers sign charts, showing how to use them to solve inequalities and giving practice problems for students to solve using sign charts. Homework problems are assigned from the textbook.

1. Homework Questions
Talk to your neighbor about trouble problems while I hand out books!
Get out info sheets and signed syllabus…

2. Before we get started…
 Homework situation
 Learning Targets

3. What do we need to do in order
to do well this unit?

4. Unit 1
Solving Inequalities

5. Interval Notation

6. Interval Notation can contain union of
sets with the union symbol

7. Graph some examples
1. (3, ∞)
2. [-2, ∞)
3. (- ∞, ∞)
4. [-4, 7)
5. (-14, 2]

8. Now go backwards
 Write the interval notation for the following:
 A)
 B)
 C)
 D)
 E)
 F)

9. Sign Charts
 Solve 2 4 0x − >

10. Sign Charts
 2
5 6 0x x− − > 2
4 8 5 0x x− − ≥

11. Sign Charts
  2 2
( 3)( 1)( 4) 0x x x+ + − ≥
2
4 7 2x x− ≤

12. Sign Charts
  2 2
( 3)( 1)( 4) 0x x x+ + − <2 2
( 3)( 1)( 4) 0x x x+ + − >

13. Would I want to use sign charts here?
 3 5 2 4x − + > 6 4 1 0x− − − <

14. Homework
 P. 265 (7-14, 21-24)
 Solve all using sign charts!