1.

If A = {2x : x ϵ N}, 1 ≤ x < 4}, B = {x + 2) : x ϵ N and 2 ≤ x < 5} and C = {x : x ϵ N and 4 < x < 8}, find: (i) A ∩ B (ii) A ∪ B (iii) (A ∪ B) ∩ C

Answer»

Given; A = {2x : x ϵ N}, 1 ≤ x < 4}, B = {x + 2) : x ϵ N and 2 ≤ x < 5} and C = {x : x ϵ N and 4 < x < 8} 

According to the given conditions; A = {2, 4, 6}, B = {4, 5, 6} and C = {5, 6, 7} 

(i) A ∩ B = {4, 6}

(ii) A ∪ B = {2, 4, 5, 6} 

(iii) (A ∪ B) ∩ C = {5, 6}



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