Bounded Subset of Real Numbers/Examples/Example 2

Example of Bounded Subset of Real Numbers

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

$T = \set {x \in \R: 1 \le x \le 2}$

is bounded both above and below.

Some upper bounds of $T$ are:

$100, 10, 4, 2$

Some lower bounds of $T$ are:

$-27, 0, 1$

Sources

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