Bounded Subset of Real Numbers/Examples/Example 1

Example of Bounded Subset of Real Numbers

The subset $S$ of the real numbers $\R$ defined as:

$S = \set {1, 2, 3}$

is bounded both above and below.

Some upper bounds of $S$ are:

$100, 10, 4, 3$

Some lower bounds of $S$ are:

$-27, 0, 1$

Sources

• 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 2$: Continuum Property: $\S 2.4$ Examples: $\text {(i)}$