Let $$R_{1}$$ and $$R_{2}$$ be two relations defined on $$\mathbb{R}$$ by
$$a \,R_{1} \,b \Leftrightarrow a b \geq 0$$ and $$a \,R_{2} \,b \Leftrightarrow a \geq b$$
Then,
- A$$R_{1}$$ is an equivalence relation but not $$R_{2}$$
- B$$R_{2}$$ is an equivalence relation but not $$R_{1}$$
- Cboth $$R_{1}$$ and $$R_{2}$$ are equivalence relations
- Dneither $$R_{1}$$ nor $$R_{2}$$ is an equivalence relation
✓ Correct answer: D
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