(3) (5 points) Prove for all integers n ≥ 1 that if A₁, A2,..., An and B are sets, then: (A)UB- (AUB) Notation 1: i=0 11

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3 5 Points Prove For All Integers N 1 That If A A2 An And B Are Sets Then A Ub Aub Notation 1 I 0 11 1 (23.25 KiB) Viewed 51 times

(3) (5 points) Prove for all integers n ≥ 1 that if A₁, A2,..., An and B are sets, then: (A)UB- (AUB) Notation 1: i=0 11 A₁ A₁ A₂0... An. = i=0 n Notation 2: (A, UB) = (A, UB) n(A₂ U B) n...n (A, UB). i=0 k+1 Hint 1: A = (4) A+1 (true for all k ≥ 1). 1-0 Hint 2: Use the fact that (XnY)UZ (XUZ)n(YUZ) where X, Y, and Z are sets.