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Need help with basic problem in set theory

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What is "it"? You have to first write down an explicit formula for such a bijection. It's not hard: what do you want to map ((x,y),z) to?
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A good place to start would be consulting the definition of invective and surjective.

A function f : X -> Y is injective (one-to-one) if for any a,b in X, if f(a) = f(b), then a = b.  This is a more formal way of saying that distinct elements in X map to distinct elements in Y.

A function f : X -> Y is surjective (onto) if for every element y in Y, there is some element x in X such that f(x) = y. i.e. for every element in the codomain/image/range there is some element in the domain that that maps to it—so no elements in the codomain are “unused” persay.

Define a function between the sets and show that it satisfies these two properties.
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((x,y),z) |—> (x,(y,z))

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