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.

Asked by Pragya Singh | 1 year ago |  62

1 Answer

Solution :-

(i) Right answer is False

Explanation:-

If 3 ∈ {2, 3, 4, 5 }, 3 ∈ {3, 6}

So we get {2, 3, 4, 5} ∩ {3, 6} = {3}

(ii) Right answer is False

Explanation:-

If a ∈ {a, e, i, o, u}, a ∈ {a, b, c, d}

So we get {a, e, i, o, u} ∩ {a, b, c, d} = {a}

(iii) Right answer is True

Explanation:-

Here {2, 6, 10, 14} ∩ {3, 7, 11, 15} = Φ

(iv) Right answer is True

Explanation:-

Here {2, 6, 10} ∩ {3, 7, 11} = Φ

Answered by Pragya Singh | 1 year ago

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