The domain for all variables in the expressions below is the set of real numbers. Determine whether each statement is true or false.
(i) ∀x ∃y (x + y ≥ 0)
∃x ∀y (x · y > 0)
Translate each of the following English statements into logical expressions.
(i) There are two numbers whose ratio is less than 1.
The reciprocal of every positive number is also positive.