Tucking Carpet Under Tile
I think you need a Transition Strip between the 2 floorings. Call up the folks that installed your carpeting and find out more. Beyond that, you MAY need to have THEM move the carpeting, or you may need to simply install a Strip. It usually depends on the 'characteristics' of where the 2 floors meet, which I can't see from here.
My best to ya and hope this helps.
Jay J -Moderator
PS: If it's just a Strip you need, you can install that yourself. ALl you'll need is a drill, a drill bit, and some screws. Just take your time. Oh, perhaps this 'gap' is for a piece of Marbled Moulding. That's what we have for our Transition Strip. It's about 4" in width ...