The relation S -3-3-4-4 on the set A -3-4-5 isA- an equivalence relationB- not reflexive but symmetric and transitiveC- symmetric onlyD- reflexive only

The correct option is B not reflexive but symmetric and transitive nbsp;S={(3,3),(4,4)} (5,5)∉ S So, S is not reflexive. nbsp; But S is symmetric and trans ...

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Standard XII

Mathematics

Definition of Sets

The relation ...

Question

The relation $S = {(3, 3), (4, 4)}$ on the set $A = {3, 4, 5}$ is

an equivalence relation

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reflexive only

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not reflexive but symmetric and transitive

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symmetric only

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Solution

The correct option is C not reflexive but symmetric and transitive
$S = {(3, 3), (4, 4)}$
$(5, 5) \notin S$
So, $S$ is not reflexive.
But $S$ is symmetric and transitive.

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The relation S={(3,3),(4,4)} on the set A={3,4,5} is

The correct option is C not reflexive but symmetric and transitive S={(3,3),(4,4)} (5,5)∉S So, S is not reflexive. But S is symmetric and transitive.

The relation $S = {(3, 3), (4, 4)}$ on the set $A = {3, 4, 5}$ is

The correct option is C not reflexive but symmetric and transitive
$S = {(3, 3), (4, 4)}$
$(5, 5) \notin S$
So, $S$ is not reflexive.
But $S$ is symmetric and transitive.