Let $R$ be binary relation on $\mathbb{N}$ defined by $xRy$ iff $x\leq y\leq 2x$ . Is $R$ reflexive? Is $R$ (anti)symmetric? Is $R$ transitive?

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Hi I'm not sure about this question, can anybody help me out?

Let $R$ be binary relation on $\mathbb{N}$ defined by $xRy$ if and only if $x\leq y\leq 2x$. Is $R$ reflexive? Is $R$ symmetric? Is $R$ antisymmetric? Is $R$ transitive?

Thank you.