[ a, e, i, o, u } B = { a, b, c } (iii) A = { x : x is a natural number and multiple of } B = { x : x is a natural number less than } (iv) A = { x : x is a natural number and < x ≤ } B = { x : x is a natural number and < x < } (v) A = { , , }, B = φ . Let A = { a, b }, B = { a, b, c }. Is A ⊂ B ? What is A ∪ B ?
. If A and B are two sets such that A ⊂ B, then what is A ∪ B ? . If A = { , , , }, B = { , , , }, C = { , , , }and D = { , , , }; find MATHEMATICS A ∪ B A ∪ C (iii) B ∪ C (iv) B ∪ D (v) A ∪ B ∪ C (vi) A ∪ B ∪ D (vii) B ∪ C ∪ D .
Find the intersection of each pair of sets of question above. . If A = { , , , , }, B = { , , , }, C = { , , }and D = { , }; find A ∩ B B ∩ C (iii) A ∩ C ∩ D (iv) A ∩ C (v) B ∩ D (vi) A ∩ (B ∪ C) (vii) A ∩ D (viii) A ∩ (B ∪ D) (ix) ( A ∩ B ) ∩ ( B ∪ C ) (x) ( A ∪ D) ∩ ( B ∪ C) . If A = { x : x is a natural number }, B = { x : x is an even natural number} C = { x : x is an odd natural number}andD = { x : x is a prime number }, find A ∩ B A ∩ C (iii) A ∩ D