Question

State whether each of the following statement is true or false. Justify your answer.
(i) { 2, 3, 4, 5 } and { 3, 6} are disjoint sets.
(ii) { a, e, i, o, u } and { a, b, c, d }are disjoint sets.
(iii) { 2, 6, 10, 14 } and { 3, 7, 11, 15} are disjoint sets.
(iv) { 2, 6, 10 } and { 3, 7, 11} are disjoint sets.
NCERT Solutions for Class 11th Mathematics Chapter 1 Exercise 1.4 12

Answer 1

Answer :
     Disjoint sets are those sets which have no elements in common.
(i) { 2, 3, 4, 5 } and { 3, 6} are disjoint sets.
 These sets are not disjoint sets because 3 is common element in these two sets.

(ii) { a, e, i, o, u } and { a, b, c, d }are disjoint sets.
 These sets are not Disjoint because a is a common element in these two sets.

(iii) { 2, 6, 10, 14 } and { 3, 7, 11, 15} are disjoint sets.
These sets are disjoint because there is no common element in these two sets.

(iv) { 2, 6, 10 } and { 3, 7, 11} are disjoint sets.
These sets are disjoint because there is no common element in these two sets.