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
:
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There are two intervals
:
(-infinity, 3.5) and (7, +infinity)
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:
, 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:
(