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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asked Oct 13, 2024 60.1k views

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Maruf Hassan · Answer 1 · 2024-10-17T16:58:23+0000

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}.

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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