How to rewrite x/ (x-2) > 2 in the form P(x)/ Q(x) > 0?

[elmosworld403]

Solve x/ x-2 >2 by first rewriting it in the form P(x) / Q(x) >0


How do I go about first rewriting it into that form?

 

[SammyS]

Solve x/ x-2 >2 by first rewriting it in the form P(x) / Q(x) >0

How do I go about first rewriting it into that form?

I assume you mean , Solve x/(x-2) > 2 .

Parentheses are important. What you wrote literally means $\displaystyle \ \ \frac{x}{x}-2>2\ .$To get started on the problem, add 2 to both sides.

Then make the expression on the left side into one rational expression.

 

[elmosworld403]

I assume you mean , Solve x/(x-2) > 2 .

Parentheses are important. What you wrote literally means $\displaystyle \ \ \frac{x}{x}-2>2\ .$

Yes sorry

X/ (X-2) > 2


and form (P(x))/(Q(x)) > 0

 

[SammyS]

Yes sorry

X/ (X-2) > 2

and form (P(x))/(Q(x)) > 0

See the little bit I added to my previous post after you quoted it.