Question

Translate the statement ∀x∀y(((x ≥0)∧(y < 0)) → (x −y>0)) into English, where the domain for each variable consists of all real numbers.

Answer 1

The statement ∀x∀y(((x ≥0)∧(y < 0)) → (x −y>0)) translates to: For all real numbers x and y, if x is greater than or equal to 0 and y is less than 0, then x minus y is greater than 0.

Step-by-step explanation:

The statement ∀x∀y(((x ≥0)∧(y < 0)) → (x −y>0)) translates to:

For all real numbers x and y, if x is greater than or equal to 0 and y is less than 0, then x minus y is greater than 0.

Essentially, this statement is saying that if you have a positive or zero value for x and a negative value for y, then their difference will also be positive.