The relation R={(1, 1), (2, 2), (3, 3)} on the set {1, 2, 3} is :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → an equivalence relation
(1) Symmetric
for every $a∈\{1,2,3\}$, $(a,a)∈R$
(2) Reflexive
for $(1, 1), (1, 1)∈R$, $(2, 2), (2, 2)∈R$, $(3, 3), (3, 3)∈R$
(3) Transitive
for every $(a,b),(b,c)∈R$, $(a,c)∈R$
This is equivalence relation