If A and B are two sets such that A ⊂ B, then Find: (i) A ∩ B (ii) A ∪ B Watch Solution
If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11} and D = {10, 11, 12, 13, 14}. Find: (i) A ∪ B (ii) A ∪ C (iii) B ∪ C (iv) B ∪ D (v) A ∪ B ∪ C (vi) A ∪ B ∪ D (vii) B ∪ C ∪ D (viii) A ∩ (B ∪ C) (ix) (A ∩ B) ∩ (B ∩ C) (x) (A ∪ D) ∩ (B ∪ C). Watch Solution
Let A = {x: x ∈ N}, B = {x: x = 2n, n ∈ N), C = {x: x = 2n-1, n∈ N} and, D = {x: x is a prime natural number }. Find: (i) A ∩ B (ii) A ∩ C (iii) A ∩ D (iv) B ∩ C (v) B ∩ D (vi) C ∩ D Watch Solution
Let A = {3, 6, 12, 15, 18, 21), B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find: (i) A – B (ii) A – C (iii) A – D (iv) B – A (v) C – A (vi) D – A ((vii) B – C (viii) B – D Watch Solution
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)’ Watch Solution
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that: (i) (A ∪ B)’= A’ ∩ B’ (ii) (A ∩ B)’ = A’ ∪ B’. Watch Solution