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May4-05, 06:39 AM
Anti-symmetric: (2, 1) is in the set. If this relation is anti-symmetric, (1, 2) must not be in the set. Yes this is true. So, this property is true.
I was giving an example! (2,1) is not the only pair you need to check.
If x in an element in R, then x < x for all x in R. Therefore, x precedes x.
You mean x<= x (or [itex]x\le x[/tex]), of course.