Determine if the argument is valid or invalid. Give a reason to justify answer.

If the bell rings, then we answer the door.
The bell rings.
We answer the door.

Yes, it is valid, according to the law of detachment. If the first and second premise are true, then the third is true.

Oh okay now I understand. Thank you :)

To determine if the argument is valid or invalid, we need to analyze the logical structure of the statements.

The given argument can be represented as follows:

P1: If the bell rings, then we answer the door. (Conditional Statement)
P2: The bell rings. (Given)

Conclusion: We answer the door. (Inferred)

This argument follows a valid logical form called Modus Ponens, which states that if an "if-then" statement (P1) is true and the condition (P2) of that statement is also true, then the conclusion can be validly inferred.

Therefore, the argument is valid because it adheres to the logical structure of Modus Ponens. The reason it is valid is that whenever the bell rings (P2), according to P1, we answer the door. So, the conclusion is justified based on the premises provided.