SOLUTION: (x+2)/(x+3)<1

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Question 1154037: (x+2)/(x+3)<1
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


%28x%2B2%29%2F%28x%2B3%29%3C1
%28x%2B2%29%2F%28x%2B3%29-1%3C0
%28x%2B2%29%2F%28x%2B3%29-%28x%2B3%29%2F%28x%2B3%29%3C0
-1%2F%28x%2B3%29%3C0

The expression on the left is negative when (x+3) is positive:

x%2B3%29%3E0
x%3E-3

ANSWER: x greater than -3

A graph of (x+2)/(x+3) and the constant 1, showing that the function value is less than 1 only for x greater than -3:

graph%28400%2C400%2C-10%2C10%2C-3%2C5%2C%28x%2B2%29%2F%28x%2B3%29%2C1%29