I have to write out what the following statements mean and whether they are true or false:
$(∃y ∈ N)(∀x ∈ N)(x < y)$
$(∀y ∈ N)(∃x ∈ N)(x < y)$
$(∀x ∈ N)(∀y ∈ N)(x < y)$
So for number 1, would I say that there exists $y \in N$ that is greater than all values of $x \in N$ ? Would this be going in the right direction? How would I know if this is true or not?