Which of the following relations in R is an equivalence relatilon? Options: A . &nbspxR1 y⇔|x|=|y| B . &nbspxR2 y⇔x≥y C . &nbspxR3 y⇔xy D . &nbspxR4 y⇔x

Which of the following relations in R is an equivalence relatilon?

Question

Which of the following relations in R is an equivalence relatilon?

Options:

A . xR1 y⇔|x|=|y|

B . xR2 y⇔x≥y

C . xR3 y⇔xy

D . xR4 y⇔x

Answer: Option A
:
A
It is simple to check that only,

R_{1}

is an equivalence relation.

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