NCERT Solutions
Class 11 Maths
Sets

Ex.1.4 Q.12
State whether each of the following statement is true or false. Justify your answer.
(1) {2, 3, 4, 5} and {3, 6} are disjoint sets.
(2) {a, e, i, o, u} and {a, b, c, d} are disjoint sets.
(3) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets.
(4) {2, 6, 10} and {3, 7, 11} are disjoint sets.
(1) False
As 3 ∈ {2, 3, 4, 5}, 3 ∈ {3, 6}
=> {2, 3, 4, 5} ∩ {3, 6} = {3}
(2) False
As a ∈ {a, e, i, o, u}, a ∈ {a, b, c, d}
=> {a, e, i, o, u} ∩ {a, b, c, d} = {a}
(3) True
As {2, 6, 10, 14} ∩ {3, 7, 11, 15} = φ
(4) True
As {2, 6, 10} ∩ {3, 7, 11} = φ