(Q29).State whether each of the following statement is true or false. Justify your answers.

(i) {2,3,4,5} and {3,6} are disjoint sets.

Rule: If two sets are disjoint their intersection is null set.

= {2, 3, 4, 5} n {3, 6} = { } ≠ φ

∴ Given statement is .

(ii) {a, e, i, o, u} and {a, b, c, d} are disjoint sets.

Given sets are

{a, e, i, o, u} and {a, b, c, d}

= {a, e, i, o, u} ∩ {a, b, c, d}

= { } ≠ φ

∴ Given statement is .

(iii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets.

{2, 6, 10, 14} and {3, 7, 11, 15}

= {2, 6, 10, 14} ∩ {3, 7, 11, 15}

= {}

∴ Given statement is .

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

Given sets are

{2, 6, 10} and {3, 7, 11}

= {2, 6, 10} ∩ {3, 7, 11} = {}

∴ Given statement is .