Irreflexive and reflexive are not exactly opposites.Group startsTrue or FalseTrue, unselectedFalse, unselected
Question
Irreflexive and reflexive are not exactly opposites.
Group starts
- True
- False
True, unselected
False, unselected
Solution
The statement "Irreflexive and reflexive are not exactly opposites" is given.
To determine if this statement is true or false, we need to understand the definitions of irreflexive and reflexive.
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Reflexive: A relation is reflexive if every element in the set is related to itself. In other words, for every element a in the set, (a, a) is in the relation.
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Irreflexive: A relation is irreflexive if no element in the set is related to itself. In other words, for every element a in the set, (a, a) is not in the relation.
Based on these definitions, we can conclude that irreflexive and reflexive are indeed opposites. If a relation is reflexive, it means that every element is related to itself, while if a relation is irreflexive, it means that no element is related to itself.
Therefore, the statement "Irreflexive and reflexive are not exactly opposites" is false.
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