Bounded Below Subset of Real Numbers/Examples/Open Interval from 1 to Infinity

Example of Bounded Below Subset of Real Numbers

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

$S = \openint 1 \to$

is bounded below.

Examples of lower bounds of $S$ are:

$-7, 1, \dfrac 1 2$

The set of all lower bounds of $S$ is:

$\hointl {-\infty} 1$

Sources

• 1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra ... (previous) ... (next): $\S 10$: The well-ordering principle