SOLUTION: Solve the following inequality. Enter the answer in interval notation. x/(x−7)>−1

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Question 1069305: Solve the following inequality. Enter the answer in interval notation.
x/(x−7)>−1
Found 3 solutions by rothauserc, josgarithmetic, MathTherapy:
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
We have two cases to consider
:
1) (x - 7) > 0, then
x > 7
:
2) (x - 7) < 0
x < -1(x - 7)
x < -x + 7
2x < 7
x < 7/2 = 3.5
:
***********************************
There are two intervals
:
(-infinity, 3.5) and (7, +infinity)
************************************
:

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!








Numerator is important.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Solve the following inequality. Enter the answer in interval notation.
x/(x−7)>−1
, with 

Solve this inequality to get: 

Now, we have 2 CRITICAL points , and the following 3 intervals: 

After testing the above intervals, we get the following CORRECT INTERVAL NOTATION:  

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