Question: Assigned Problems (To Be Submitted): Problem 1: Let I and J be nonempty sets with J C I and let {A; : i E /}

Assigned Problems (To Be Submitted): Problem 1: Let I and J be nonempty sets with J C I and let {A; : i E /} be an indexed collection of sets. (Note that {Aj : j E J} is also an indexed collection of sets). Prove that UA; CU Ai and AinAj. j EJ iEl iEl j EJ Problem 2: Prove that if x is odd, then 8 | (x2 - 1)

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