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Symmetric Relations

What is the d...

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What is the difference between symmetric and reflexive relation

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Q. What is the distinction between a relation and function and when do you call a relation reflexive, symmetric and transitive ?

What is the difference between Identity relation and reflexive relation ?

Q. Since an object is identical with itself 'being identicaly, is called a reflexive relation and if a relation is transitive, symmetric and reflexive, then such a relation is called 'equivalence'. If so, what kind of relation is "different"?

Q. If a relation

R

is defined between

x

y

R = {(x, y) : 4 x + y \geq 34

x, y \in N}

, then the relation

R

R

is an equivalence relation on a set

A

R^{- 1}

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