Menu Close

Let-S-be-a-nonempty-subset-of-R-that-is-bounded-below-prove-that-inf-S-sup-s-s-S-




Question Number 103180 by mohammad17 last updated on 13/Jul/20
Let S be a nonempty subset of R that is bounded  below . prove that (inf(S)=−sup{−s:s∈S})?
$${Let}\:{S}\:{be}\:{a}\:{nonempty}\:{subset}\:{of}\:{R}\:{that}\:{is}\:{bounded} \\ $$$${below}\:.\:{prove}\:{that}\:\left({inf}\left({S}\right)=−{sup}\left\{−{s}:{s}\in{S}\right\}\right)? \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *