1.Let P(S)P(S)P(S) denote the power set of S={1,2,3,…,10}S = \{1, 2, 3, \ldots, 10\}S={1,2,3,…,10}. Define the relations R1R_1R1 and R2R_2R2 on P(S)P(S)P(S) as AR1BAR_1BAR1B if (A∩Bc)∪(B∩Ac)=ϕ(A \cap B^c) \cup (B \cap A^c) = \phi(A∩Bc)∪(B∩Ac)=ϕ and AR2BAR_2BAR2B if A∪Bc=B∪Ac,∀A,B∈P(S)A \cup B^c = B \cup A^c, \forall A, B \in P(S)A∪Bc=B∪Ac,∀A,B∈P(S). Then:a.Both R1R_1R1 and R2R_2R2 are equivalence relationsb.Only R1R_1R1 is an equivalence relationc.Only R2R_2R2 is an equivalence relationd.Both R1R_1R1 and R2R_2R2 are not equivalence relationsLogin to continueOnly logged in users canattempt or see the solution.
