Question

determine which if any of the three statements are equivalent. I.) if the weather is not warm,then I will need a sweater. II.) either I will not need a sweater or the weather is not warm. III.) if i will not need a sweater,then the weather is warm. the answer to choose from is I and II are equivalent. II and III are equivalent. II and III are equivalent. none are equivalent.

Answer 1

I and III are equivalent may be

Answer 2

Dictionary: w=warm, s=sweater
I. ~w -> s
(or: w v s)
II. ~s v ~w
III. ~s -> w
(or: s v w)
Therefore I and III :)

Answer 3

I and III are equivalent