SOLUTION: Solve the following inequality: (4-x)/(x-10)>0

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Question 912698: Solve the following inequality: (4-x)/(x-10)>0
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Two critical values are for x at 4 and x at 10. You have an inequality relating to 0, so you just need to analyze for sign in the three intervals on x which the critical values form. Note, x%3C%3E4, because you have a strict inequality. Also x%3C%3E10 because the left rational member is there undefined.

Picking any specific value of x in each interval could be helpful in checking for signs.

(-infinity, 4)
(+)/(-)>0
FALSE

(4, 10)
(+)/(+)>0
TRUE

(10, infinity)
(-)/(+)>0
FALSE

The solution is highlight%284%3Cx%3C10%29
OR
( 4, 10 )