Let R1 = {(a, b) $\in$ N $\times$ N : |a $-$ b| $\le$ 13} and R2 = {(a, b) $\in$ N $\times$ N : |a $-$ b| $\ne$ 13}. Then on N :

Question

Let R₁ = {(a, b) $\in$ N $\times$ N : |a $-$ b| $\le$ 13} and

R₂ = {(a, b) $\in$ N $\times$ N : |a $-$ b| $\ne$ 13}. Then on N :

Both R₁ and R₂ are equivalence relations

Neither R₁ nor R₂ is an equivalence relation

R₁ is an equivalence relation but R₂ is not

R₂ is an equivalence relation but R₁ is not

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