Which of the following relation is a partial order as well as an equivalence relation?
A. equal to(=)
B. less than(<)
C. greater than(>)
D. not equal to(!=)
Answer:A
Which of the following relation is a partial order as well as an equivalence relation?
A. equal to(=) B. less than(<) C. greater than(>) D. not equal to(!=)
Explanation: The identity relation = on any set is a partial order in which every two distinct elements are incomparable and that depicts the relation of both a partial order and an equivalence relation. For non-linear orders, there are many advanced properties of posets.