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Question

If $A equals open curly brackets x comma y comma z close curly brackets comma$ then the relation
$R equals left curly bracket open parentheses x comma x close parentheses comma open parentheses y comma y close parentheses comma open parentheses z comma z close parentheses comma open parentheses z comma x close parentheses comma left parenthesis z comma y right parenthesis right curly bracket$ is

(a) Symmetric
Antisymmetric
Transitive
Both ((a) and ((b)

The correct answer is: Both ((a) and ((b)

Clearly, $R$ is an equivalence relation on $A$

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