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Which one of the following statements is TRUE?

A

The interval (0,1) is compact and open in $\mathbb{R}$

B

The interval (0,1) is not compact and open in $\mathbb{R}$

C

The interval (0,1) is compact and closed in $\mathbb{R}$

D

The interval (0,1) is not compact and closed in $\mathbb{R}$

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