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Can i build a deck off a concrete slab?
Generally speaking, it can be done.
Since I don't know your specific situation, there is nothing else I can say.
need more information, where are you located, what condition is the slab in
I would not do it if it is in a deep frost area of the country. Unless the slab has a full footing under it(highly unlikely)the slab, and everything sitting on it, could heave.