Home
Class 10
MATHS
State whether each of the following stat...

State whether each of the following statements is true or false. Justify your answers.
(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 Solution

Verified by Experts

The correct Answer is:
(i) False, because they have common element '3'
(ii) False, because the two sets have a common element 'a'
(iii) True, because no common elements for the sets.
(iv) True, because no common elements for the sets.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

State whether each of the following statement is true or false. Justify your answer. { 2, 3, 4, 5 } and { 3, 6} are disjoint sets.

State whether each of the following statement is true or false. Justify your answer. { 2, 6, 10 } and { 3, 7, 11} are disjoint sets.

State whether each of the following statement is true or false. Justify your answer. { 2, 6, 10, 14 } and { 3, 7, 11, 15} are disjoint sets.

State whether each of the following statement is true or false. Justify your answer. { a, e, i, o, u } and { a, b, c, d } are disjoint sets.

Say true or false and justify your answer: 2^3xx3^2=6^5

State whether the following statements are always true, always false or ambiguous. Justify your answers. (ii) The distance from the Earth to the sun is approximately 1.5 xx10^8 km.

State whether the following statements are true or false. Justify your answer (i) 5 cancel(in) set of prime numbers (ii) S={5,6,7} implies 8 in S. (iii) -5 cancel(in)W where 'W' is the set of whole numbers (iv) 8/(11) in Z where's 'Z' is the set of integers.

Which of the following sets are empty sets? Justify your answer. (i) A={x : x^(2)=4 and 3x=9} (ii) The set of all triangles in a plane having the sum of their three angles less than 180.

Which of the following pairs of sets are disjoint { a, e, i, o, u } and { c, d, e, f }

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly. (i) If P= {m, n} and Q = {n, m}, then P xx Q= {(m, n),(n, m)}. (ii) If A and B are non-empty sets, then A xx B is a non-empty set of ordered pairs (x, y) such that x in A and y in B. (iii) If A={1,2}, B={3,4} then A xx (B cap phi)=phi