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

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    Calculus Intro
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Homework Help Overview

The discussion revolves around the inequality x/(x-2) > 2, with participants seeking to rewrite it in the form P(x)/Q(x) > 0. The subject area involves algebraic manipulation and rational expressions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the expression and its interpretation, emphasizing the importance of parentheses. There are questions about how to combine terms and rewrite the inequality as a single rational expression.

Discussion Status

There is active engagement among participants as they clarify the expression and explore steps to rewrite the inequality. Some guidance has been offered regarding the initial manipulation of the inequality, but no consensus on the complete approach has been reached.

Contextual Notes

Participants are addressing potential misunderstandings related to the expression's formatting and the implications of parentheses in the inequality.

elmosworld403
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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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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.
 
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:
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.
 

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