Question

Q4. Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } and C = { 3, 4, 5, 6 }. Find
(i) A′ (ii) B′ (iii) (A ∪ C)′
(iv) (A ∪ B)′ (v) (A′)′ (vi) (B – C)′

Answer 1

Answer:

(i)A'={5,6,7,8,9}

(ii)B'={1,3,5,7,9}

(iii)(AUC)'={7,8,9,}

(iv)(AUB)'={5,7,9}

(v)(A')'={1,2,3,4}

(vi)(B-C)'={1,2,3,5,7,8,9}