Posted by **Joe** on Sunday, November 6, 2011 at 11:59am.

Trying to solve this rational inequality but can't figure how to factor the numerator. ((3x-2x^2)/(4-x^2))<((3+x)/(2-x))

- Algebra 3 -
**Steve**, Sunday, November 6, 2011 at 8:07pm
If we put both sides over a common denominator, we have:

(3x-2x^2)/(40x^2) < (3+x)(2+x)/(4-x^2)

collecting terms, we have (3x^2 + 2x + 6)/(4-x^2) > 0

The numerator is always positive, so as long as the denominator is positive, the inequality holds. We stipulated that x<2, and 4-x^2 > 0 if -2<x<2, so that is the interval where the original inequality holds.

- Algebra 3 -
**Steve**, Sunday, November 6, 2011 at 8:08pm
sorry. ignore the phrase about stipulating that x<2.

## Answer this Question

## Related Questions

- Algebra - Solve Rational Inequalities x^2-x-2/x^2+5x+6<0 I cant figure this ...
- Math - Rational Equations Solve: How do you work it out? 1. x/4 - x+2/3 = 12 (x+...
- Simplifying Rational Expressions - 1.4x12 / 4x 2.d+7 / d^2-49 3.t^2-25 / t^2+t-...
- Math 209 - When simplifying a rational fraction, why do you need to factor the ...
- math - When simplifying a rational fraction, why do you need to factor the ...
- Simplifying Rational Expressions - 1. 4x-12/4x 2. d+7/d^2-49 3.t2-25/t^2+t20 4....
- Algebra - I'm having trouble working out these problems. Could someone please ...
- algebra - here is a rational expression, 20+2x/5-x for what value of x is the ...
- advance functions gr 12 - Using rational functions solve 3(numerator) 2x-4 (...
- Math advance functions gr 12 - Using rational functions solve 7+ 1(numerator) x...

More Related Questions