May 10, 2024
May 10, 2024
May 10, 2024
###### Question 10814 – APPSC-2016-DL-CS
May 10, 2024

Which of the following options is TRUE with regard to a relation R defined on ordered pairs of integers as given below: (x,y) R (low,up) if x>low and y<up?

Question 10 Explanation:
If a relation is equivalence then it must be
i) Symmetric
ii) Reflexive
iii) Transitive
If a relation is a partial order relation then it must be
i) Reflexive
ii) Anti-symmetric
iii) Transitive
If a relation is total order relation then it must be
i) Reflexive
ii) Symmetric
iii) Transitive
iv) Comparability
Given ordered pairs are (x,y)R(low,up) if (x,up).
Here < , > are using while using these symbols between (x,y) and (y,up) then they are not satisfy the reflexive relation. If they use (x< =low) and (y >=low) then reflexive relation can satisfies.
So, given relation cannot be an Equivalence. Total order relation or partial order relation.
R is totally ordered
R is partially ordered but not totally ordered
R is an equivalence relation
R is neither partially ordered nor an equivalence relation