Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
denote the power set of 
, 
. Define the relations 
and 
on 
as 
if 
and 
if 
. Then:
A
only 
is an equivalence relation
is an equivalence relation B
only 
is an equivalence relation
is an equivalence relation C
both 
and 
are equivalence relations
and are equivalence relations D
both 
and 
are not equivalence relations
and are not equivalence relations
Text Solution
Verified by ExpertsThe correct answer is:
C
power set of 
is reflexive, symmetric
For transitive
equivalence
reflexive, symmetric
for transitive
Equivalence
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