Which of the following is the negation of the statement "for all M > 0, there exists x\[\in\]S such that x \[\ge\] M" ?
Solutions · 1
Official solution
P : for all M > 0, there exists x\[\in\]S such that x \[\ge\] M.
\[ \sim \] P : there exists M > 0, for all x\[\in\]S
Such that x < M
Negation of 'there exists' is 'for all'.