Question

What law was used and if the conclusion is valid or invalid.

1 if you drive a car without an adult, then you are at least 16 years old.
2. if you are at least 16 years old, then you should remember when your mom's birthday is. 3. if you drive a car without an adult, then you should remember when your mom's birthday is.
1 - The statement is using the law of detachment and it is valid
2 -The statement is using the law of syllogism and it is invalid
3 - The statement is using the law of detachment and it is invalid
4 -The statement is using the law of syllogism and it is valid

Answer 1

The statement uses the law of syllogism, and the conclusion that 'if you drive a car without an adult, then you should remember when your mom's birthday is' is valid, as it properly applies this law.

Step-by-step explanation:

The law used in the statement is the law of syllogism, and the conclusion drawn is valid. Here's why: According to the law of syllogism, if a conditional statement (if P, then Q) is true, and another conditional statement (if Q, then R) is true, then a third conditional statement (if P, then R) can be inferred and is also true. In this case, if the given premises are true, the conclusion necessarily follows. Therefore, option 4 is correct, which states 'The statement is using the law of syllogism and it is valid.'