Write each of the following as an English sentence and state whether it is true or false:
a) ∀x ∈ R, ∃y ∈ R, y^3 = x.
b) ∃y ∈ R, ∀x ∈ R, y^3 = x.
The Attempt at a Solution
I think both say every real number has at least one cubic root. Maybe the second one says, there exist a least one cubic root for every real number?