1. 4.1 Inequalities.notebook September 19, 2012
Objective ­ Solving Inequalities in one variable
Agenda
1. WU
2. Check p 171
3. Notes
4. HW Warm Up
Daniel and his friends are combining their movie collections.
Daniel has 3 drama, 8 comedy, and 3 horror movies.
Joe has 2 drama and 6 comedy movies.
Stan has 4 horror, 3 comedy and 2 chick flicks.
How many movies do each of the boys have?
How many movies do they have together?
What is their average number of movies?
What is their average number of comedy movies?
1

2. 4.1 Inequalities.notebook September 19, 2012
p 171 # 1 ­ 6
1. won't change
2. won't change
3. won't change
4. won't change
5. will change
6. will change
­ 1 < 2 ­2(­ 1 < 2)
2

3. 4.1 Inequalities.notebook September 19, 2012
Solving Inequalities
3x + 16 < 7 ­ 5x < 10
3

4. 4.1 Inequalities.notebook September 19, 2012
7 ­ 4x ≤ 1 ­ 2x
4

5. 4.1 Inequalities.notebook September 19, 2012
Solving Combined or Compound Inequalities
Conjunction ­2 ≤ x <1 [­2, 1)
­5 ­4 ­3
[
­2 ­1 0
)
1 2 3 4 5
Disjunction x < ­1 or x ≥ 2 (­∞, ­1), [2, ∞)
­5 ­4 ­3 ­2
)­1 0 1
[ 2 3 4 5
5

6. 4.1 Inequalities.notebook September 19, 2012
­2 ≤ ­x + 3 < 4 t < 3 or t ≤ ­4
6