SOLUTION: I am having trouble with these absolute value questions. here is my problem |-2p|<_1 *<_ is less than or equal to I tried adding 2 to both sides but that didn't really work.

Question 900029: I am having trouble with these absolute value questions.
here is my problem |-2p|<_1
*<_ is less than or equal to
I tried adding 2 to both sides but that didn't really work.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
here is my problem |-2p|<_1
*<_ is less than or equal to
***
You must solve for 2 cases:
one for a positive expression inside the absolute value
and another for a negative expression inside the absolute value sign
..
case 1:
-2p≤1
-p≤1/2
mult.both sides by (-1) and reverse inequality sign
p≥-1/2
..
case 2:
-(-2p)≤1
2p≤1
p≤1/2
solution:
[-1/2,1/2]
or
-1/2 ≤ p ≤1/2
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