Question

Q4. Show that the relation R in the set {1, 2, 3} given by R = {(1, 1), (2, 2),(3, 3), (1, 2), (2, 3)} is reflexive but neither symmetric nor transitive.

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

We have A={1,2,3} and R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}.

Since (1,1),(2,2),(3,3)∈R, R is reflexive

R is not symmetric because (1,2)∈R and (2,1)

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∈R.

R is transitive because (1,2),(2,3)∈R and (1,3)∈R.

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