Distance from Subset of Real Numbers to Element/Examples/From 3 to Open Interval from 2 to 3

Examples of Use of Distance from Subset of Real Numbers to Element

Consider the open real interval $I = \openint 2 3$.

The real numbers $2$ and $3$ are both zero distance from $I$ but are not elements of $I$.

Sources

• 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 2$: Continuum Property: Exercise $\S 2.13 \ (5) \ \text {(i)}$