Question

let A={1,2,3} which of the following is not an equivalence relation on A? a.{(1,1),(2,2),(3,3)} b.{(1,1),(2,2),(3,3),(1,2),(2,1)} c.{(1,1),(2,2),(3,3),(1,3),(3,1)} d.{(1,1),(2,2),(3,3),(1,3),(2,3)}​

Answer 1

Answer:

option d .....

Step-by-step explanation:

hope this helps

Answer 2

Answer:

Mark me as brainliest and thank me if the answer is useful.

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.