I3 Processor Can run Games?

i3 is decent enough to play games with. the 8750m is the better gpu than the other ones.

ideally you want a i7 quad core for a gaming laptop but at your budget mayb you should look for a A10 amd cpu + GPU laptop
 
I have just found out that an A 10 is just similar to an I3 2330M so that's why i'm considering it.Anyway i think the 7670m is the best option for me so it is suited me.Because i can't live without a DVD Writer.!
I think that an i5 can just boost my fps from 5-10 only.So that's why i'm considering an i3.