Is it possible to run game at 1920*1080 resolution in 18.5 inch LED

Guys, i have a dell monitor which is that:Dell E Series E1912H 18.5" Monitor with LED | Dell.
I bought it yeasterday.
Is it possible to run game at 1920*1080 resolution in 18.5 inch LED monitor along with this config which would be my config in very near future:
PRO:core i5 3470 or core i3 3220
Ram:8GB ram ddr3 1600mhz/1333
GPU:ATI 7770/7850 2GB OC
A guy tell me it is not possible if i had not 21 inch monitor.so what is the difference between in 21 and 18 inch monitor.what i know that screen is bigger.pls tell me more about their difference.That's it
Negetive reply will

Thank

LCD monitors have a fixed pitch also know as their native resolution. To get the best picture quality you need to run an LCD monitor at its native/recommended resolution. Anything else is likely to cause distortion. A larger LCD monitor usually has more pixels per inch and thus will have a higher resolution. That Dell monitor you linked to runs at 1366 X 768 at 60Hz. I wouldn't try to run it at 1920 X 1080. For that resolution I'd look for a monitor that supports 1080P.
I run an LG E2242T-BN Flat Panel on my Media center PC and it's 1080P. You'll likely need a 21 or 22 inch screen.