Let R be the “less than” relation on R, the set of all real number: For every
Is R antisymmetric? Prove or give a counterexample.
Whether is antisymmetric or not.
Let be the “less than” relation on the set of all real numbers:
For all .
A relation on a set is said to be antisymmetric if and only if for all , if .
The objective is to determine whether is antisymmetric or not.
Let be the relation defined on the set as.
By the definition
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