For the following relations on S = {0,1,2,3}, specify which of the properties (R), (AR), (AS),...

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Advance Math

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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