Bounded Below Subset of Real Numbers/Examples/Closed Interval from 0 to 1

Example of Bounded Below Subset of Real Numbers

Let $I$ be the closed real interval defined as:

$I := \closedint 0 1$

Then $I$ is bounded below by, for example, $0$, $-1$ and $-2$, of which $0$ is the infimum.

$I$ is also the smallest element of $I$.

Sources

• 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 2$: Continuum Property: Exercise $\S 2.10 \ (4) \ \text{(v)}$