SOLUTION: How would you solve this: If (m) does not equal (-1) then (m) over (m+1) is less than 1

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Question 648565: How would you solve this:
If (m) does not equal (-1)
then (m) over (m+1) is less than 1
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
    M%2F%28M%2B1%29 < 1,  M ≠ -1 

M%2F%28M%2B1%29 - 1 < 0

Get an LCD of M+1

%0D%0AM%2F%28M%2B1%29+-+%28M%2B1%29%2F%28M%2B1%29 < 0

%28M-%28M%2B1%29%29%2F%28M%2B1%29 < 0

%28M-M-1%29%2F%28M%2B1%29 < 0

%28-1%29%2F%28M%2B1%29 < 0

The left side must be negative in order for
it to be less than 0.

Since the numerator is negative (-1), the denominator
must be positive.  "Positive" means "greater than 0",
so we set the denominator > 0

M + 1 > 0
    M > -1

That's the solution.

Edwin