Question

Use the Law of Detachment to determine what you can conclude from the given information, if possible. If you pass the final, then you pass the class. You passed the final.

a) You passed the class.
b) You failed the class.
c) You may or may not pass the class.
d) The information is insufficient to conclude.

Answer 1

Using the Law of Detachment, if the statement 'If you pass the final, you pass the class' is true and the individual has passed the final, then it must also be true that they have passed the class.

Step-by-step explanation:

The Law of Detachment is a principle used in deductive reasoning where if a conditional statement (If p, then q) is accepted as true, and the antecedent p is true, then the consequent q must also be true. Based on the given conditions:

1. If you pass the final, then you pass the class.
2. You passed the final.

We can apply the Law of Detachment to conclude that since the antecedent (passing the final) is true, the consequent (you pass the class) must also be true. Therefore, the correct answer is:

• a) You passed the class.