I think you are still in doubt , isn't it , I saw you peeking at this again and again

---Now if

the denominator on LHS is positive

Hence

but in the initial condition we have taken it greater than 6

Hence this is correct for

---Now when

the denominator on LHS is negative

So there will be a change in inequality sign when we will multiply it by

(x-6) on both sides

Hence

but this is against initial condtion hence no answer in this range of x

----When

the

**denominator** on LHS is negative

So on multiplying the sign of inequality changes

Hence

thus

is an answer

Now for the complete answer we have to take a combination of all these solution sets(answer as in my last post)

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I am not sure if you were unclear about it, but I think if you were this will be helpful ,ask incase if you still find any trouble

*(remember the change of inequality sign on multiplying with a negative number on both sides) *