Distance between Element and Subset of Real Numbers/Examples/Example 2

Example of Distance between Element and Subset of Real Numbers

Let $S \subseteq \R$ be the subset of the set of real numbers $\R$ defined as:

$S := \openint 0 1$

Then:

$\map d {3, S} = 1$

where $d$ denotes the distance function.

Sources

• 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 2$: Continuum Property: Exercise $\S 2.13 \ (4) \ \text{(ii)}$