I don't know if it's reflexive because of the missing pair $(4,4). $
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Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking. – Community Feb 21 '23 at 03:12
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That is enough to make $\{(1,1),(2,2),(3,3)\}$ a non-reflexive relation over $\{1,2,3,4\}$, yes.
A reflexive relation $R$ (over a set $A$) must have $(a,a) \in R$ for each and every single $a \in A$. You've found a case where that does not hold.
PrincessEev
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If you have other questions, it would be best to make a new question post, and include your thoughts/workings on the matter, as opposed to asking a sequence of questions on an existing post – PrincessEev Feb 24 '23 at 01:44