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.

Question

Philoid · Accepted Answer

(i) Let us assume, A = {2, 3, 4, 5}

And, B = {3, 6}

∴

= {3}

Hence, A and B are not disjoint sets

∴ The given statement is false

(ii) Let us assume, A = {a, e, i, o, u}

And, B = {a, b, c, d}

∴

= {a}

Hence, A and B are not disjoint sets

∴ The given statement is false

(iii) Let us assume, A = {2, 6, 10, 14}

And, B = {3, 7, 11, 15}

∴

Hence, A and B are disjoint sets

∴ The given statement is true

(iv) Let us assume, A = {2, 6, 10}

And, B = {3, 7, 11}

∴

Hence, A and B are disjoint sets

∴ The given statement is true

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.