In 9-33, determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify your answer.
. A relation F is defined on A as follows: For every
To justify whether the given relation is reflexive, symmetric, transitive, or none of these.
Let A = R × R .
A relation F Is defined on A as follows: For all and in A,
The relation F Is reflective if for every element
Since we know that for all elements
Thus F Is reflexive
The relation F on a set A is symmetric if whenever
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