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

Example of Bounded Above Subset of Real Numbers

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

$I := \closedint 0 1$

Then $I$ is bounded above by, for example, $1$, $2$ and $3$, of which $1$ is the supremum.

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

Sources

• 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 2$: Continuum Property: Exercise $\S 2.10 \ (3) \ \text{(v)}$