Let $\mathrm{A}=\{1,2,3,4,5,6,7\}$. Then the relation $\mathrm{R}=\{(x, y) \in \mathrm{A} \times \mathrm{A}: x+y=7\}$ is :

Question

reflexive but neither symmetric nor transitive

transitive but neither symmetric nor reflexive

symmetric but neither reflexive nor transitive

an equivalence relation

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