The relation R={(1, 1), (2, 2), (3, 3)} on the set {1, 2, 3} is : |
symmetric only reflexive onnly transitive only an equivalence relation |
an equivalence relation |
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 |