Let A={1,2,3,4,5,6} and consider the following 3 subsets of A. A, = {1,3,5}; A2 =%3D{2,4, 6}; A3 = {3, 6}.Define the relation R on set A as follows: x R y if and only if { x, y} C A or { x, y}C A, or { x,y}C A. That is,x R y if and only if x and y are both in A, or x and y are both in A2 or x and y are both in A3. Ris not an equivalence relation. Which property of equivalence does R fail to have? Support your answer with aspecific example.

Let A=1,2,3,4,5,6 and 3 subsets of A. A1=1,3,5; A2=2,4,6,A3=3,6 we have a relation xRy if and only…

Let A={1,2,3,4,5,6} and consider the following 3 subsets of A. A, = {1,3,5}; Az : %3D %3D %3D {2,4, 6}; A3 = {3, 6}. Define the relation R on set A as follows: x R y if and only if {x,y}C A, or {x,y}C A, or {x,y}C A,. That is, x R y if and only if x and y are both in A1 or x and y are both in A2 or x and y are both in A3.