1. 2.3 (Day 2) Absolute Value Inequalities
Today’s Date:
10/6/17

2. Absolute Value  x > 1 OR x < –1  x < 1 AND x > –1
Flip! & change to (–)
greatOR –1 1
Flip! & change to (–)
less thAND
AND is overlap –1 1

3. Example 1) Solve & Graph less thAND 3 – 2t < 5 AND 3 – 2t > –5
flip!!
flip!!
AND is overlap –1 4
Interval Notation:
(–1, 4)

4. Example 2) Solve & Graph greatOR 9 – 2x ≥ 5 OR 9 – 2x ≤ –5 –2x ≥ –4
flip!!
flip!! OR 2 7
Interval Notation:
(–,2]  [7, )

5. TWAP always false! always true! Ex 3) greatOR All Real #s (–,)
x – 3 ≥ –2 OR x – 3 ≤ 2
x ≥ 1 OR
x ≤ 5
the entire # line is shaded
 TRUE for all values 1 5
Ex 4)
less thAND
No Solution
t + 5 < –1 AND t + 5 > 1
t < –6
AND
t > –4
AND is overlap
No overlap! –6 –4

6. WORD PROBLEM QUIZ ON MONDAY!!!
Homework
#208 Pg – 59 odd - graph all & WS 1 – 4