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Question

Let A={1,2,3} and R={(1,2),(2,3),(1,3)} be a relation on A. Then R is

A
neither reflexive nor transitive
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B
neither symmetric nor transitive
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C
transitive
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D
none of these
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Solution

The correct option is C transitive
The given relation is not reflexive as (1,1),(2,2),(3,3)R.
Again the relation is not symmetric as (1,2)R but (2,1)R.
But the relation is transitive as (1,2)R,(2,3)R(1,2)R for all 1,2,3A.

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