# Thread: Bounded set.

1. ## Bounded set.

When saying "bounded subset of R",

Does this mean that the subset is bounded both above and below? or it could be only bounded above or only bounded below?

Thank you.

2. Originally Posted by felixmcgrady
When saying "bounded subset of R",

Does this mean that the subset is bounded both above and below? or it could be only bounded above or only bounded below?

Thank you.
It means both sides: a set A in R is bounded if there exists a number M s.t. for any a in A we have |a| <= M

Tonio