(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find relations that satisfying

just Reflexive

just Symmrtic

just Transitive

(R) & (S), but not (T)

(R) & (T), but not (S)

(S) & (T), but not (R)

2. Relevant equations

S=Z

(a,b) [tex]\in[/tex]R if <=> a>b (T) but, not (S) & (R).

the ex is given in the class, but nothing else was explained. I am confused. Please help if you can.

3. The attempt at a solution

How about some cartisian product.

(1,1) (1,2) (1,3)

(2,1) (2,2) (2,3)

(3,1) (3,2) (3,3)

for (1,1) we have equiv. rel (R, S & T)

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# Equivalence Relations

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