# Math Help - analysis

1. ## analysis

Prove that every finite set is bounded.

Any ideas?

2. Originally Posted by friday616
Prove that every finite set is bounded.
Assuming we are in $\mathcal{R}^1$.
Suppose we have a finite set A = $\left\{ {x_1 ,x_2 ,x_3 , \cdots ,x_n } \right\}$.
We form the number $\mathcal{B} = \sum\limits_{k = 1}^n {\left| {x_k } \right|}$
Is $\mathcal{B}$ a bound for $A$?