Itunes and MAC not compatable?

I have a MAC OS X version 10.5.8. When I plugged my iphone 4 into the computer it said that I needed to update my iTunes, so i installed 11.1.3 for MAC. After it installed, I went to open iTunes and a messaged popped up saying "this update requires 10.6.8 or later". I went to my MAC setting and check, everything is up to date. I tried to uninstall and reinstalled and I had no luck. Praying some of y'all know how to fix this.

Sorry, I don't know the answer exactly, but here are some options:

Earlier versions of iTunes is available here:
http://support.apple.com/...ds/#itunes

You could buy Snow Leopard from here:
http://store.apple.com/...ow-leopard

The compatibility problem with iTunes would be solved with that upgrade, Snow Leopard is actually much optimized version of Leopard.