In 9-33, determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify your answer.
Let
To justify whether the given relation is reflexive, symmetric, transitive, or none of these.
Given information:
Let A = R × R .
A relation F Is defined on A as follows: For all
Calculation:
Reflexive:
The relation F Is reflective if
Since
Thus F Is reflexive
Symmetric:
The relation F on a set A is symmetric if