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absolute value question

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3 Answers

9 - (|m| + 7) = 4    [distribute]
9 - |m| - 7 = 4    [combine constants]
2 - |m| = 4    [subtract 2]
-|m| = 2    [multiply by -1]
|m| = -2
 
No mater what number m is, the absolute value of m will always be non-negative (i.e. greater then or equal to zero.) There are no numbers whose absolute value is -2. Therefor there is no value of m such that this equation could ever be true. "No solution."
Hey Abaline -- the ( ) must become a "5" to shrink 9 into 4 ...
 
when m=0 the ( ) is at it's smallest (7) ... any other m grows the ( ) > 7 ... Regards :)