Solve & GraphAbsolute Value Inequality
Remember …
Simplify the following:
1. |-5| = 2. |5| =
3. |8 + (-8)| = 4. |8| + |-8|=
What does absolute value mean?
5
5
|0|
= 0 8 + 8
= 16
The distance from zero.
Solve & Check: |2m – 4| = 8
|2m – 4|=8
-8 = 2m - 4
-2 = m m = 6
Solve:
Check: |2(-2) – 4| = 8|-4 – 4| = 8
|-8| = 88 = 8
|2(6) – 4| = 8|12 – 4| = 8
|8| = 88 = 8✔ ✔
2m – 4 = 8+4 + 4-4 = 2m . 2 2
+4 +4 2m = 12 .
2 2
OR
Solve & Check: |3n + 2| - 5 = 4n|3n + 2| - 5 = 4nSolve:
Check:
+ 5 +5|3n + 2| = 4n + 5
-(4n + 5) = 3n + 2 -4n - 5 = 3n + 2
n = -3 n = -1|3(-1) + 2| - 5 = 4(-1) |3(-3) + 2| - 5 = 4(-3)
|-3 + 2| - 5 = -4|-1| - 5 = -4
1 - 5 = -4-4 = -4
|-9 + 2| - 5 = -12|-7| - 5 = -12
7 - 5 = -122 = -12
3n + 2 = 4n + 5
✗
✗
✔
OR -3n + 5 -3n + 5 -7n = 7
-4n - 2 -4n - 2 -n = 3
What does absolute value mean?
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