Question
A relation $R$ on the set $A$ is irreflexive if for every $a \in A,(a, a) \notin R .$ That is, $R$ is irreflexive if no element in $A$ is related to itself.Give an example of an irreflexive relation on the set of all people.
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Step 1: Define the set $A$ as the set of all people. Show more…
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A relation $R$ on the set $A$ is irreflexive if for every $a \in A,(a, a) \notin R .$ That is, $R$ is irreflexive if no element in $A$ is related to itself. Which relations in Exercise 4 are irreflexive?
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A relation $R$ on the set $A$ is irreflexive if for every $a \in A,(a, a) \notin R .$ That is, $R$ is irreflexive if no element in $A$ is related to itself. Use quantifiers to express what it means for a relation to be irreflexive.
A relation $R$ on the set $A$ is irreflexive if for every $a \in A,(a, a) \notin R .$ That is, $R$ is irreflexive if no element in $A$ is related to itself. Which relations in Exercise 6 are irreflexive?
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