Math, asked by ck233, 1 year ago

what is anti symmetric relation explain with examples

Answers

Answered by Meet005
4


However, < (or >), (or on any set of numbers is not symmetric. Example 6: The relation "being acquainted with" on a set of people is symmetric.Definition(antisymmetric relation): Arelation R on a set A is calledantisymmetric if and only if for any a, and b in A, whenever <a, b> R , and <b, a> R , a = b must hold.


ck233: can a relation can both symmetric and antisymmetric
Meet005: yeah
Meet005: it could be
Meet005: and it can't be
Meet005: ok
ck233: examples plz
ck233: which are both symteric and anti smetric both
Anuj20Kr07Maurya: are you a hero
Answered by Anuj20Kr07Maurya
0
However, < (or >), (or on any set of numbers is not symmetric. Example 6: The relation "being acquainted with" on a set of people is symmetric.Definition(antisymmetric relation): Arelation R on a set A is calledantisymmetric if and only if for any a, and b in A, whenever <a, b> R , and <b, a> R , a = b must hold.
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