Can a lenovo h500s desktop run skyrim and just cause 2?

I'm going to buy one soon for gaming and was wondering if it can run these two games… And if it can't can someone else recommend a cheap gaming pc that would run these games thanks!

If the machine can meet or preferably exceed:
Skyrim Specs: (Video Graphics is where most machines fail the test)
Recommended
-Windows 7/Vista/XP PC (32 or 64 bit)
-Quad-core Intel or AMD CPU processor
-4GB System RAM
-6GB free HDD (Hard disk drive) space
-DirectX 9.0c compatible NVIDIA or AMD ATI video card with 1GB of RAM: Nvidia GeForce GTX 260 or higher; ATI Radeon HD 4890 or higher
-DirectX compatible sound card
-Internet access for Steam activation

How do i check if it meets the preferred settings?