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.

(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


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