Let S= 1,2,3, ldots, 10 . Suppose M is the set of all the subsets of S, then the relation R= (A, B): A ∩ B ≠ φ ; A, B ∈ M is :

Question

Let S= 1,2,3, ldots, 10 . Suppose M is the set of all the subsets of S, then the relation R= (A, B): A ∩ B ≠ φ ; A, B ∈ M is : (A) symmetric and reflexive only (B) reflexive only (C) symmetric and transitive only (D) symmetric only

Tardigrade Admin · Accepted Answer

Correct answer is (d) symmetric only

Q. Let S={1,2,3,…,10}. Suppose M is the set of all the subsets of S, then the relation R={(A,B):A∩B=ϕ;A,B∈M} is :

symmetric and reflexive only

reflexive only

symmetric and transitive only

symmetric only

Correct answer is (d) symmetric only

Q. Let $S = {1, 2, 3, \dots, 10}$ . Suppose $M$ is the set of all the subsets of $S$ , then the relation $R = {(A, B) : A \cap B \neq = ϕ; A, B \in M}$ is :