    Question

# 8.Which of the following pairs of sets are disjointG) 1, 2, 3, 4) and (x:x is a natural number and 4 3xs6)(i) a, e, i, o, u and c, d, e, f )(iii) Ix:x is an even integer ) and {x: x is an odd integer)

Open in App
Solution

## (i) Given sets are { 1,2,3,4 } and { 4,5,6 } The two sets are called disjoint sets if they have no common elements between them. The intersection between the sets { 1,2,3,4 } and { 4,5,6 } is taken. ={ 1,2,3,4 }∩{ 4,5,6 } ={ 4 } ≠ϕ As, there is a common element between both the sets, it cannot be called as disjoint set. Therefore, this pair of sets is not a disjoint set. (ii) Given sets are { a,e,i,o,u } and { c,d,e,f } . The two sets are called disjoint sets if they have no common elements between them. The intersection between the sets { a,e,i,o,u } and { c,d,e,f } is taken. ={ a,e,i,o,u }∩{ c,d,e,f } ={ e } ≠ϕ As, there is a common element between both the sets, it cannot be called as disjoint set. Therefore, this pair of sets is not a disjoint set. (iii) Given sets are { 2,4,6,8,... } and { 1,3,5,7,... } . The two sets are called disjoint sets if they have no common elements between them. The intersection between the sets { 2,4,6,8,... } and { 1,3,5,7,... } is taken. ={ 2,4,6,8,... }∩{ 1,3,5,7,... } =ϕ =ϕ As, there is no common element between both the sets, it is a disjoint set. Therefore, this pair of sets is a disjoint set.  Suggest Corrections  0      Similar questions
Join BYJU'S Learning Program
Select...  Related Videos   Types of Sets
MATHEMATICS
Watch in App  Explore more
Join BYJU'S Learning Program
Select...