Question

Which of the following pairs of sets are disjoint ?
(i) `{1,2,3,4}` and {x : x is natural number and `4 le x le 6`}
(ii) `{a,e,i,o,u} and {c,d,e,f}`
(iii) {x : x is an even inetger} and {x : x is an odd inetger}.

Answer 1

(i) `{1,2,3,4}` and {x : x is a natural number and `4 le x le 6} = {4,5,6}`
`:.` 4 is common element in the two sets
Therefore, pair of sets is not disjoint
(ii) `{a,e,i,o,u} and {c,d,e,f}`
`because` Element e is common is two sets
Therefore, pair of sets is not disjoint
(iii) {x : x is an even inetger} = {2,4,6,8,10,....}
{x : x is an odd integer} = {1,3,5,7,9,...}
`:.` No element is common in two sets
Therefore, pair of sets is disjoint.