The only thing promised in this condition statement is that if it is raining then we will close the window

:

just because we close the window doesnt necessarily mean it is raining. It might or might not be raining

:

basically if p is the statement it is raining and q is we will close the window

:

We are given... if p then q or p->q. We are asked does q -> p



truth table

:

p  q  (p->q) -> (q->p)

______________________



T  T    T     T   T

T  F    F     T   T

F  T    T     F   F

F  F    T     T   T

:

therefore the statement is invalid 

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