Question 178690This question is from textbook
: For each of the following conditionals, identify the antecedent and the consequent. Form the converse, inverse, and contrapositive.
(a) If I don’t go to the movie, I’ll study my math.
(b) Your car won’t start if you don’t have gasoline in the tank.
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This question is from textbook
Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website! (a) If I don’t go to the movie, I’ll study my math.
antecedent = I don't go to the movie
consequence = I'll study my math
converse = If I study my math, I won't go to the movie
inverse = If I go to the movie, then I won't study my math.
contrapositive = If I don't study my math, I'll go to the movie
(b) Your car won’t start if you don’t have gasoline in the tank.
antecedent = you don't have gasoline in the tank
consequence = your car won't start
converse = you don't have gasoline in the tank if your car won't start
inverse = your car starts if you have gasoline in the tank
contrapositive = you have gasoline in the tank if your car starts
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