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If relation R is defined on all positive integers, then determine each of the following relations is either reflexive, symmetry, anti-symmetry, transitive, or the combination
If relation R is defined on all positive integers, then determine each of the following relations is either reflexive, symmetry, anti-symmetry, transitive, or the combination of them:
a. (x,y)R if x=y2
b. (x,y)R if 3 divides xy
c. (x,y)R if 3 divides x+2y
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