# Math Help - Solve two inequalities in x

1. ## Solve two inequalities in x

Find the set of values of x for which

both 3(2x+1)>5-2x AND 2x^2-7x+3>0

So the answer to the first one is x>1/4, answer to the second is x<1/2 and x>3

But since these conflict, how would I write it?

I think I need to do 1/4<x<1/2 AND x>3

Is this right? Thanks for your help

2. ## Re: Solve two inequalities in x

Yes, you have correctly found the intersection of the two solutions. In interval notation:

$\left(\frac{1}{4},\frac{1}{2} \right)\,\cup\,(3,\infty)$

3. ## Re: Solve two inequalities in x

Thank you very much