If you don't plan on playing anything more demanding than solitaire, it's seems okay.
Seems like you don't know that integrated graphics can play some games. The computer I normally use is 1.6ghz dual core processor with no video card and integrated intel graphics. I can play WoW, LoL, Runescape, and Starcraft 2 (not very well but I can still play them). The point is, I bet this computer can run more than cards.