Bounded Below Subset of Real Numbers/Examples/Left Half Open Interval from 0 to 1

Example of Bounded Below Subset of Real Numbers

Let $I$ be the left half-open real interval defined as:

$I := \hointl 0 1$

Then $I$ is bounded below.

$0$ is an lower bound of $I$.

Sources

• 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $1$: Review of some real analysis: $\S 1.1$: Real Numbers: Example $1.1.1 \ \text{(c)}$