Which of the following pairs of sets are disjoint?
(i) {1, 2, 3, 4} and {x: x is a natural number and 4 ≤ x ≤ 6}
(ii) {a, e, i, o, u} and {c, d, e, f}
(iii) {x: x is an even integer} and {x: x is an odd integer}
(i) Let us assume, A = {1, 2, 3, 4}
And, B = {x: x is a natural number and 4 x 6}
= {4, 5, 6}
∴
Hence, A and B are not disjoint.
(ii) Let us assume, A = {a, e, i, o, u}
And, B = {c, d, e, f}
∴
Hence, A and B are disjoint
(iii) Let us assume, A = {x: x is an even integer}
And, B = {x: x is an odd integer}
∴
Hence, A and B are disjoint