Which of the following is the negation of the statement "for all $M>0,$ there exists $x\in S$ such that $x\ge M^{\text{'}\text{'}}?$

• Correct answer
  A

  there exists $M>0,$ such that $x<M$ for all $x\in S$
• B

  there exists $M>0,$ there exists $x\in S$ such that $x\ge M$
• C

  there exists $M>0,$ there exists $x\in S$ such that $x<M$
• D

  there exists $M>0$ such that $x\ge M$ for all $x\in S$

Hence, the correct answer is option: 'A'.