Question

Define a relation r on X such that xRy if and only if _______. What is the nature of relation R?

1) Reflexive
2) Symmetric
3) Transitive
4) None of the above

Answer 1

A relation on set X can be reflexive, symmetric, transitive, or none of the above.

Step-by-step explanation:

A relation r on set X is defined as xRy if and only if _______. The nature of relation R can be determined by examining its properties. Reflexive, Symmetric, and Transitive are properties of relations. A relation is considered Reflexive if every element is related to itself; Symmetric if for every element x and y, xRy implies yRx; and Transitive if for every elements x, y, and z, if xRy and yRz hold, then xRz holds.