Construct an explicit bijection between the following sets. Once you've done that, construct injections going in opposite directions as if you were aiming to apply the S-B Theorem. Reflect on how much nicer it is to use S-B. a. (0,1) and [0,1) b. (0,1) and [0,1] 2. Prove that [0,1] and , where = [2n, 2n 1] have the same cardinality. Please note that in this assignment, it is not enough to simply give a function and state that it is injective/surjective/bijective. You have to provide a PROOF that the function you're providing has these properties