Question

The statement p → q represents "If a number is doubled, the result is even.”

Which represents the inverse?

~p → ~q where p = a number is doubled and q = the result is even
q → p where p = a number is doubled and q = the result is even
~p → ~q where p = the result is even and q = a number is doubled
q → p where p = the result is even and q = a number is doubled

Answer 1

The inverse of p → q is ¬p → ¬q. With p = "a number is doubled" and q = "the result is even," the correct choice is:

~p → ~q where p = a number is doubled and q = the result is even.