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If R is the largest equivalence relation on a set A and S is a

Question

If $R$ is the largest equivalence relation on a set $A$ and $S$ is any relation on $A$ , then

R \subset S

S \subset R

R = S

none of these

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Luna Discussed

R

is the largest equivalence relation on a set

A

and

S

is any relation on

A

, then

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

S

is a subset of

R

Since

R

is the largest equivalence relation on set

A

R

is a subset of

A \times A

Since

S

is any relation

A

S

is contained in

R

and

R

is a subset of

a \times A

So,

S \subset R

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Question Text	If $R$ is the largest equivalence relation on a set $A$ and $S$ is any relation on $A$ , then
Answer Type	Text solution:1
Upvotes	150