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

To form a single rational expression, combine the two fractions over a common denominator, which is (x-2) in this case. So the resulting expression is (x-2+2)/ (x-2) > 2 or (x)/ (x-2) > 2 This is the form P(x)/Q(x) > 0 as required. In summary, solve the inequality x/(x-2) > 2 by first rewriting it in the form P(x)/Q(x) > 0 by combining the fractions over a common denominator.
  • #1
elmosworld403
12
0
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?
 
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  • #2
elmosworld403 said:
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 [itex]\displaystyle \ \ \frac{x}{x}-2>2\ .[/itex]To get started on the problem, add 2 to both sides.

Then make the expression on the left side into one rational expression.
 
  • #3
SammyS said:
I assume you mean , Solve x/(x-2) > 2 .

Parentheses are important. What you wrote literally means [itex]\displaystyle \ \ \frac{x}{x}-2>2\ .[/itex]

Yes sorry

X/ (X-2) > 2


and form (P(x))/(Q(x)) > 0
 
Last edited:
  • #4
elmosworld403 said:
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.
 

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

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