Let R be a non-empty relation on a collection of sets defined by ARB if and only if A ∩ B = Ø Then (pick the TRUE statement)

R is symmetric and not transitive

R is not relexive and not symmetric

Let R be a non-empty relation on a collection of sets�

1.	Let R be a non-empty relation on a collection of sets defined by ARB if and only if A  ∩ B = Ø Then (pick the TRUE statement)
A.	R is relexive and transitive
B.	R is symmetric and not transitive
C.	R is an equivalence relation
D.	R is not relexive and not symmetric
Answer» C. R is an equivalence relation

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&nbsp; Let&nbsp;R&nbsp;be&nbsp;a&nbsp;non-empty&nbsp;relation&nbsp;on&nbsp;a&nbsp;collection&nbsp;of&nbsp;sets&nbsp;defined&nbsp;by&nbsp;ARB&nbsp;if&nbsp;and&nbsp;only&nbsp;if&nbsp;A&nbsp;&nbsp;&cap;&nbsp;B&nbsp;=&nbsp;&Oslash; Then&nbsp;(pick&nbsp;the&nbsp;TRUE&nbsp;statement)&nbsp;

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Let R be a non-empty relation on a collection of sets defined by ARB if and only if A ∩ B = Ø Then (pick the TRUE statement)