Self Doubt

Question

If you do every problem in this book, then you will learn discrete mathematics. You learned discrete mathematics. Therefore, you did every problem in this book.

The above argument is  

A

Valid and Satisfiable

B

Valid but not satisfiable

C

Invalid

D

Tautology

Comments

It's Satisfiable but not valid. Option C Invalid

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please explain

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it's like ,

A - > B

B

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A.

where A is if you do every problem in book.

B is you learn discrete matematics.

If B is true , can you always say that A is true?

if A is false , then also A->B gives true , so it is not always true to say that A is always true.

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Yeaah!

Thanks!