What's the graphics card - if it's a dedicated brand card you might be okay but if it's just an on board Intel Gfx chip it will struggle?
Also see my other posts regarding my own laptop (Inspiron 1520 which is a very similar spec) which can't run TS2009 without killing the graphics driver every 20 mins and crashing to a grey screen and in the process has transmitted the fault to earlier versions.
As an aside, I did run TRS2004 and TRS2006 with considerable success on an old Compaq Presario which was about 1/3 the overall power of this Inspiron, with very few problems.