Negating the statement: \exists M \in R such that \forall x\in S, x\leqM

[brntspawn]

Homework Statement

$$\exists$$ M $$\in$$ R such that $$\forall$$ x$$\in$$ S, x$$\leq$$M
Write in symbolic for the negation of the statement.

The Attempt at a Solution

$$\forall$$ M$$\in$$ R, $$\exists$$ x$$\in$$ S such that x$$\geq$$M

Is this correct?

 

[rochfor1]

It should be x > M, but otherwise yes.

 

[brntspawn]

Great. Thanks for the help.