Question

Let R be a relation on a set A= {1,2,3). Which of the following relation is reflexive?
a. {(1.1),(1,2),(2,1),(3,3),(3,2)}
b. {(1,1),(1,2),(2,2),(3,3),(3,2))
O c. {(1,1),(1,2).(2,2),(2,3),(3,2))
O d. {(1,1).(1,2).(3,3),(3,2)
e, none of these​

Answer 1

d) is answer

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Answer 2

Answer:

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Step-by-step explanation:

Given set A={1,2,3}

Given R={(1,1),(2,2),(3,3)}

Clearly, the relation R is reflexive on A, as (x,x)∈R for all x∈A

Since, there are no ordered pairs of the form (x,y), so no need to check for symmetric and transitive.

Hence, the given relation is smallest equivalence relation on A.