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+1 vote
25.5k views
in Mathematics by (43.8k points)

The contrapositive of the statement "If I reach the station in time, then I will catch the train" is : 

(1) If I will catch the train, then I reach the station in time. 

(2) If I do not reach the station in time, then I will not catch the train. 

(3) If I will not catch the train, then I do not reach the station in time. 

(4) If I do not reach the station in time, then I will catch the train.

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1 Answer

+1 vote
by (48.6k points)

Answer is (3) If I will not catch the train, then I do not reach the station in time.

Let p denotes statement

p : I reach the station in time.

q : I will catch the train.

Contrapositive of p→ q

is ~q → ~p

~q → ~p : I will not catch the train, then I do not reach the station in time.

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