If , then is
Explanation for the correct option.
Find the domain of :
Given,
.
is define if
This inequality can be solved by the method of intervals.
If , then the product of all the factors are positive. Equation is satisfied.
If , then are positive but is negative, then the product of all the factors are not positive. Equation is not satisfied.
If , then are positive but others are negative, then the product of all the factors are positive. Equation is satisfied.
Therefore,
Again if , then the product of all the factors are positive. Equation is satisfied.
Therefore,
From relation and ,
Hence, the correct option is C.