Solving Rational Inequalities: (3x+1)/(2x-4) > 0

wiiyogi
Messages
3
Reaction score
0

Homework Statement



3x+1
2x-4 > 0


The Attempt at a Solution


My answer came to be
(x< 1/3) U (x>2)
 
Physics news on Phys.org
Hi wiiyogi

key is you need both denomintor & numerator either positive or negative

so x>2 looks right (need x>-1/3 numerator, x>2 denominator so x>2)

however your negativr case needs another look
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top