For the following relations on S = {0,1,2,3}, specify which ofthe properties (R), (AR), (AS), and (T) the relations satisfy.
(R) = reflexive
(AR) = anti reflexive
(AS) = anti symmetric
(T) = transitive
b.) (m,n) in the domain of R2 if m - n is even
c.) (m,n) in the domain of R3 if m less than or equal to n
d.) (m,n) in the domain of R4 if m + n is less than or equal to4
e.) (m,n) in the domain of R5 if max{m,n} = 3
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