Determine which, if any, of the three statements are equivalent.
-I. Gasoline costs $1.99 per gallon if and only if you live in Cook County.
II. You do not live in Cook County and gasoline does not cost $1.99 per gallon.
III. If you do not live in Cook County then gasoline does not cost $1.99 per gallon and if gasoline Does not cost $1.99 per gallon then you do not live in Cook County.
A) I and II are equivalent
B) I and III are equivalent
C) II and III are equivalent
D) None are equivalent

Question

Quizplus · Accepted Answer

Statements I and III are equivalent because both express the same biconditional relationship between living in Cook County and gasoline costing $1.99 per gallon.

Determine Which, If Any, of the Three Statements Are Equivalent