In 43-50, the following definitions are used: A relation on a set A is defined to be Irreflexive if, and only if, for every
asymmetric if, and only if, for every if then
intransitive if, and only if, for every , if and then .
For each of the relations in the referenced exercise, determine whether the relation I irreflexive, asymmetric, intransitive, or none of these.
To justify whether the relation is irreflexive, asymmetric, intransitive, or none of these.
The relation R8 is irreflective if for every element
Since is irreflexive if it does not contain
We note that R8 contains and thus R8 is not irreflexive
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