Use symbols to write the logical form of the following arguments. If valid, identify the rule of inference that guarantees its validity. Qtherwise, state whether the converse or the inverse error has been made.

a) If you study hard for your discrete math final you will get an A.

b) Jane got an A on her discrete math final.

c) Therefore, Jane must have studied hard.

a) If you study hard for your discrete math final you will get an A.

b) Jane got an A on her discrete math final.

c) Therefore, Jane must have studied hard.