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.Can a relation on a set be neither reflexive nor irreflexive?
Step 1
Step 1: Define a set $A = \{1, 2, 3, 4\}$. 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. Use quantifiers to express what it means for a relation to be 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. Which relations in Exercise 4 are 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 3 are irreflexive?
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