Which statement is logically equivalent to "If it is warm, then I go swimming"

(1) If I go swimming, then it is warm
(2) If it is warm, then I do not go swimming
(3) If I do not swimming, then it is not warm
(4) If it is not warm, then I do not go swimming.

Answer Choice 3 is right.


Original Statement

"If it is warm, then I go swimming"

Step 1.) Switch it

I go swimming, then it is warm

( The sentence in step 1.) is called the converse, which is not always equivalent to the original statement)

Step 2.) Now negate both the hypothesis and conclusion of Step 1.)

I don't go swimming, then it is not warm - > Contrapositive [this is what you want]


Solution: Answer 3.)

yea, 3 ^