## melbel 3 years ago (x-4)/(2x+3) <=3

1. melbel

$\frac{ x-4 }{ 2x+3 }\le3$

2. melbel

My prof said that I can't multiply the 3 by the stuff in the denominator because the denominator contains an x. Since you don't know if x is going to be pos or negative, you can't determine whether or not you'll need to switch the sign. I have the answer, I just don't know how to solve it: $(-\infty, -\frac{ 13 }{ 5 }]\cup(-\frac{ 3 }{ 2 },\infty)$

3. Goten77

hmm