Home
Class 11
MATHS
State whether each of the following sta...

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 disjoints sets (iv) `{2, 6, 10}` and `{3, 7, 11}` are disjoint sets.

Text Solution

Verified by Experts

(i) Element 3 is common in sets `{2,3,4,5} and {3,6}` Therefore, pair of sets is not disjoint
`rArr` Statement is false
(ii) Element `alpha` is common in sets `{a,e,i,o,u} and {a,b,c,d}`. Therefore, pair of sets is not disjoint
`rArr` Statement is false
(iii) There is no common element in the sets `{2,6,10,14} and {3,7,11,15}` Therefore, pair of sets is disjoint
`rArr` Statement is true
(iv) There is no common element in the sets `{2,6,10} and {3,7,11,15}`. Therefore, pair of sets is disjoint.
`rArr` Statement is true.
Promotional Banner

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.5|7 Videos
  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.6|8 Videos
  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.3|9 Videos
  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos
  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

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,ou} and {a,b,cd} are disjoint sets. (iii) {2,6,10,14} and {3,7,11,15} are disjoint sets. (iv) {2,6,10,14} and {3,7,11} are disjoint sets.

State whether the given statement are true and false ? (i) {2,3,4,5} and {3,6} are dusjoint (ii) {2,6,10,14} and {3,7,11,15} are disjoint (iii) {2,6,10} and {3,7,11} are disjoint.

What is Disjoint sets?

The pair of disjoint sets are

If A and B are disjoint sets, then write A nn B

If A and B are disjoint sets, then n(A cap B) = ?

Two sets A and B are not disjoint if :

Two sets A and B are disjoint iff

If a and B are disjoint sets, then n(A uu B)= _______

If A and B are disjoint sets, then n (^^DeltaB) = "____" .