please help!

(2x - 7) ( x - 3)

____________   ≥  0

        x

Note  that  

2x - 7    ≥  0    

2x  ≥  7

x   ≥ 7/2

So  all  values of  x  ≥ 7/2   will  make the  inequality true

And  note  that   when    x  is on the interval    (0 , 3 ] it will also be true

And when  x  < 0    it is never true

So......the intervals that make this true  are

(0, 3 ]  U  [ 7/2, inf)

Here's  the  graph to show this  :

https://www.desmos.com/calculator/zrszwkjmby