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. ((3x2x^2)/(4x^2))<((3+x)/(2x))

Algebra 3  Steve, Sunday, November 6, 2011 at 8:07pm
If we put both sides over a common denominator, we have:
(3x2x^2)/(40x^2) < (3+x)(2+x)/(4x^2)
collecting terms, we have (3x^2 + 2x + 6)/(4x^2) > 0
The numerator is always positive, so as long as the denominator is positive, the inequality holds. We stipulated that x<2, and 4x^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^2x2/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^249 3.t^225 / 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. 4x12/4x 2. d+7/d^249 3.t225/t^2+t20 4....
 algebra  here is a rational expression, 20+2x/5x for what value of x is the ...
 Algebra  I'm having trouble working out these problems. Could someone please ...
 algebra  i need you to check my answers for the following questions: use the ...
 advance functions gr 12  Using rational functions solve 3(numerator) 2x4 (...
More Related Questions