1. Prove that, for any set, say A, 05 A. 2. If A has 63 proper...

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1. Prove that, for any set, say A, 05 A. 2. If A has 63 proper subsets, what is JA]. 3. For any non-empty sets A and B, define a function from A to B. 4. Let A, B be sets with (B) = 3. If there are 4096 relations from A to B, what is A?. 5. Determine whether the following functions are injective, surjective or bijective, where C= {re R: 120). (i): CR define by f(x) = x² (ii) f: RC defined by f(x) = 1². Let: RR define by f(x)=3x-5, does f has an inverse?. If yes find the inverse, 1. Prove that, for any set, say A, 05 A. 2. If A has 63 proper subsets, what is JA]. 3. For any non-empty sets A and B, define a function from A to B. 4. Let A, B be sets with (B) = 3. If there are 4096 relations from A to B, what is A?. 5. Determine whether the following functions are injective, surjective or bijective, where C= {re R: 120). (i): CR define by f(x) = x² (ii) f: RC defined by f(x) = 1². Let: RR define by f(x)=3x-5, does f has an inverse?. If yes find the inverse,