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Let x,yI and suppose that a relation R on I is defined by x R y if and only if xy then

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a
R is reflexive but not symmetric
b
R is an equivalence relation
c
R is neither reflexive nor symmetric
d
R is symmetric but not transitive

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detailed solution

Correct option is A

Since x≤x for all x∈I so R is reflexive but is not symmetric as (1,2)∈R and (2,1)∉R. Also R is transitive as x≤y,y≤z⇒x≤z


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