Question

1. Answer all the Questions
(i) The smallest equivalence relation on A = {1,2,3} is
(a) {(1, -1),(2,2), (3,3)}
(c) {(1,1),(2,2), (3,3)}
(b) {(1,1),(-2,-2),(3,3)}
(d) ở​

Answer 1

Answer:

(C)is the right answer yes

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.