Let R = {(3,3),(6.6),(9,9),(12,12),(6.12),(3,9),(3,12),(3,6)} be a relation on the se A = {3,6,9,12}. The relation isa)Reflexive and transitiveb)Reflexive onlyc)Ail equivalence relationd)NoneCorrect answer is option 'D'. Can you explain this answer?

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Let R = {(3,3),(6.6),(9,9),(12,12),(6.12),(3,9),(3,12),(3,6)} be a relation on the se A = {3,6,9,12}. The relation is

a)
Reflexive and transitive
b)
Reflexive only
c)
Ail equivalence relation
d)
None

Correct answer is option 'D'. Can you explain this answer?

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Let R = {(3,3),(6.6),(9,9),(12,12),(6.12),(3,9),(3,12),(3,6)} be a rel...

(d) : For (3, 9) ∈ R, (9, 3) ∉ R

Therefore,relation is not symmetric which means our choice

(a) and (b) are out of court. We need to prove reflexivity and transitivity.

For reflexivity a ∈ R, (a, a) ∈ R which is hold i.e. R is reflexive. Again,

for transitivity of (a, b) ∈ R , (b, c) ∈ R

⇒ (a, c) ∈ R

which is also true in R = {(3, 3)(6, 6), (9, 9), (12, 12), (6,12), (3, 9), (3, 12), (3, 6)}.

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Let R = {(3,3),(6.6),(9,9),(12,12),(6.12),(3,9),(3,12),(3,6)} be a relation on the se A = {3,6,9,12}. The relation isa)Reflexive and transitiveb)Reflexive onlyc)Ail equivalence relationd)NoneCorrect answer is option 'D'. Can you explain this answer?

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