Exercise 1. and (1) Let X = {n EN n is a multiple of 6} X...

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Exercise 1. and (1) Let X₁ = {n EN n is a multiple of 6} X₂ = {n EN n is a multiple of 2 and n is a multiple of 3}. Are the two sets equal? Justify your answer in full detail. (2) Consider subsets X₁, i = 1, 2, 3, 4 of the universe X. Use the laws of set theory to simplify the expression [X₂0 ([X3 X4]U[X30X₁])] U(X₁X₂). Exercise 1. and (1) Let X₁ = {n EN n is a multiple of 6} X₂ = {n EN n is a multiple of 2 and n is a multiple of 3}. Are the two sets equal? Justify your answer in full detail. (2) Consider subsets X₁, i = 1, 2, 3, 4 of the universe X. Use the laws of set theory to simplify the expression [X₂0 ([X3 X4]U[X30X₁])] U(X₁X₂).

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