# Homework Help: Negation of statement

1. Jan 9, 2010

### brntspawn

1. The problem statement, all variables and given/known data

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

3. The attempt at a solution
$$\forall$$ M$$\in$$ R, $$\exists$$ x$$\in$$ S such that x$$\geq$$M

Is this correct?

2. Jan 9, 2010

### rochfor1

It should be x > M, but otherwise yes.

3. Jan 9, 2010

### brntspawn

Great. Thanks for the help.