SOLUTION: 21-4|2-5w|>13 I have tried this problem over and over but I just end up getting more confused.

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Question 946696: 21-4|2-5w|>13 I have tried this problem over and over but I just end up getting more confused.
Found 3 solutions by Alan3354, josgarithmetic, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
21-4|2-5w|>13
---
Subtract 21
-4|2-5w|> -8
Divide by 4
-|2-5w|> -2
Divide by -1 (changes polarity)
|2-5w| < 2
----
Case 1:
2-5w < 2
-5w < 0
w > 0
=============
Case 2:
-(2-5w) < 2
5w-2 < 2
5w < 4
w < 4/5
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
Simplify up to isolating the absolute value.






Think logically about the meaning of absolute value for the expression in the absolute value function. Either 2-5w is non-negative or it is negative. Analyze for both cases.

:
-






:
-






The solution satisfying both conditions will be the intersection of those:
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

21-4|2-5w|>13 I have tried this problem over and over but I just end up getting more confused.
         

You can do the check!! 

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