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) (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, , because you have a strict inequality. Also 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
OR
( 4, 10 )
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