Suppose A is a finite open cover of the rationals in [0,1]. How could i show that A must contain all but finitely many r

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answerhappygod
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Suppose A is a finite open cover of the rationals in [0,1]. How could i show that A must contain all but finitely many r

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Suppose A is a finite open cover of the rationals in [0,1]. How could i show that A must contain all but finitely many rationals in [0,1]. It seems very obvious, but I'm having trouble formally proving it.
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