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