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For the set A = {1, 2, 3}, define a relation R in the set A as follows: R = {(1, 1), (2, 2), (3, 3), (1, 3)}.
what is the question?
Write the ordered pairs to be added to R to make it the smallest equivalence relation
I got (3, 1) is the single ordered pair which needs to be added to R to make it the smallest equivalence relation. is it correct ?
it has to be reflexive for one
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which it already is also symmetric
ok, then am I ok ?
so you need \((3,1)\) which is what you said
also needs to be transitive
ok looks like you are right since \((2,2)\) is off by itself
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