Question

Use the table below to determine whether the argument is valid. TableI start to fall asleep if I read a math book. I drink soda whenever I start to fall asleep. If I drink a soda, then I must eat a candy bar. Therefore, if I read a math book, then I eat a candy bar.The argument is _____________

Answer 1

Okay, here we have this:

Considering the provided information, we obtain the following:

I read a math book. (p)

I start to fall asleep (q)

I drink soda (r)

I must eat a candy bar. (s)

Therefore:

I start to fall asleep if I read a math book. This can be rewritten as: "if I read a math book then I start to fall asleep". And this is p⇒q.

I drink soda whenever I start to fall asleep. This can be rewritten as:"if I start to fall asleep then I drink soda" . And this is q⇒r.

If I drink a soda, then I must eat a candy bar. And this is r⇒s

Now, we need to check: "If I read a math book, then I eat a candy bar.". That is p⇒s.

So, according with the table this argument satisfy the Transitive Reasoning, so this means that the argument is valid.