10. If the argument below is valid, name which of the four valid forms of argument is represented. If it is not valid, name the fallacy that is represented.
If I sing in the shower, then I will not be overheard while singing.
I was not overheard while singing.
Therefore, I sang in the shower.
The sentence I was not overheard while in the shower, is suppose to have a line underneath it.
Well, it seems like you've stumbled upon a classic valid form of argument known as Modus Tollens. In this case, the argument follows the structure:
1. If P, then Q.
2. Not Q.
3. Therefore, not P.
In this example, P represents "singing in the shower" and Q represents "not being overheard while singing." The argument is valid because if the premises are true (if you sing in the shower and you were not overheard while singing), then the conclusion (you sang in the shower) must also be true.
So, no funny business here, just a good ol' valid argument!