or each of the following statements, describe it in english, and say if it is true or false (without proof). then write its negation using quantifier, and express this negation in english. for instance, the statement ∀x ∈ z x < 0 means every integer is negative, and it is false. its negation is ∃x ∈ z x ≥ 0, which means that there exists a nonnegative integer. i. ∀x ∈ z ∀y ∈ z x y