Question

Let A = {0, 1, 2, 3} and define a relation R on A as follows: R = {(0, 0), (0, 1), (0, 3), (1, 0), (1,1), (2, 2), (3,0), (3, 3)}.

Is R reflexive? symmetric? transitive?

Answer 1

Step-by-step explanation:

A = {0, 1, 2, 3}

(i) R is reflexive as (a,a) ∈ R for every a ∈ A.

(ii) R is symmetric, as (0,1) ∈ R, (1,0) ∈ R and (0,3) ∈ R, (3,0) ∈ R

(iii) R is not transitive as (3,0) (0,1) ∈ R ⟹ (3,1) does not exist in R

Answer 2

Answer:

Ohh sorry...

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