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Let $$p$$ be the statement "$$x$$ is an irrational number", $$q$$ be the statement "$$y$$ is a transcendental number", and $$r$$ be the statement "$$x$$ is a rational number iff $$y$$ is a transcendental number". Statement-1: $$r$$ is equivalent to either $$q$$ or $$p$$. Statement-2: $$r$$ is equivalent to $$\sim(p \leftrightarrow \sim q)$$.
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