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Show that the set S of intervals with rational endpoints is a denumerable set. the set A = {0, 1, 3, 7, 15, 31, 63,} is denumerable.

Show that the set S of intervals with rational endpoints is a denumerable set. the set A = {0, 1, 3, 7, 15, 31, 63,} is denumerable.
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Show that the set S of intervals with rational endpoints is a denumerable set. the set A = {0, 1, 3, 7, 15, 31, 63,} is denumerable.

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User Dan Powley
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We can show that the set S of intervals with rational endpoints is denumerable by constructing a bijection between it and a denumerable set, such as the set A = {0, 1, 3, 7, 15, 31, 63}.
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User Maruf Hassan
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