Question

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}.

Answer 1

(i) Given sets are {1, 2, 3, 4} and {4, 5, 6} 

∴ 4 is a common element. 

∴ Given sets are not disjoint sets. 

(ii) Given sets are {a,e,i,o,u} and {c,d,e,f} 

∴ ‘e’ is a common element. 

∴ Given sets are not disjoint sets. 

(iii) Given sets are {0, ±2, ±4, - -} and {±1, +3 ±5,—} 

∴ There is no common element. 

∴ Given sets are disjoint sets.