1.Let a set A=A1∪A2∪⋯∪AkA = A_1 \cup A_2 \cup \dots \cup A_kA=A1∪A2∪⋯∪Ak, where Ai∩Aj=∅A_i \cap A_j = \varnothingAi∩Aj=∅ for i≠ji \neq ji=j; 1≤i,j≤k1 \le i, j \le k1≤i,j≤k. Define the relation RRR from AAA to AAA by R={(x,y):y∈Ai if and only if x∈Ai,1≤i≤k}R = \{(x, y): y \in A_i \text{ if and only if } x \in A_i, 1 \le i \le k\}R={(x,y):y∈Ai if and only if x∈Ai,1≤i≤k}. Then RRR is:a.reflexive, symmetric but not transitiveb.reflexive, transitive but not symmetricc.reflexive but not symmetric and transitived.an equivalence relationLogin to continueOnly logged in users canattempt or see the solution.
