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

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

Filo · Accepted Answer

(i) FalseA={2,3,4,5} B= {3,6}⇒A∩B={3}So, A and B are not disjoint sets.(ii) FalseA={a,e,i,o,u} , B= {a,b,c,d}A∩B={a}Hence, A and B are  not disjoint sets.(iii) TrueA={2,6,10,14} ,B= {3,7,11,15}A∩B=ϕHence, A and B are disjoint sets.(iv) TrueA={2,6,10} ,B= {3,7,11}A∩B=ϕHence, A and B are disjoint sets.

Question Text	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
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified

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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

Text solutionVerified

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