Download 7-6 Absolute Value

Warm ups – solve and graph
1.
|x + 4| = 20
2.
|4 – x| < 11
3.
|2x + 3| < 7
4.
|2x – 1| < -5
7-6 Absolute Value
“>”
Objective: to solve open
sentences involving absolute
value and graph their solutions.
Standards 3.0, 25.0
“>” = OR
|2y + 5| > 3
Great”OR” is “OR”
Change:
• Inequality sign
• Make number after “>” negative
2y + 5 > 3 or 2y + 5 < -3
Example 2
|8 - t| > 3
Change:
• Inequality sign
• Make number after “>” negative
8 - t > 3 or 8 - t < -3
Special Cases
1.
|3y – 9| > 0
2.
|y + 10| > -2
All numbers
TOO
1.
|w + 8| > 1
2.
|x - 9| > 0
3.
|1 – 3y| > 2
4.
|4t + 8| > -6
Working backwards…

Given the graph, you come up with inequality involving
absolute value…
and?
|x-middle #|
Distance to middle
or?
TOO

Given the graph, you come up with inequality involving
absolute value…
and?
|x-middle #|
Distance to middle
or?
Homework

Pg. 424 # 20, 22, 27, 28, 32, 33, 38-43