Answer:
See below.
Step-by-step explanation:
In symbols, the Law of Detachment is:
If p, then q. (This is a true statement.)
p is true.
Conclusion: q is true.
Explanation of the Law of Detachment with words and an example.
A conditional is given and is true. Then the hypothesis is given as true. By the Law of Detachment, you can conclude the conclusion of the conditional is true.
Example:
Conditional: If it rains, the grass is wet. (This is a conditional given as a true statement.)
Statement: It is raining. (This is the hypothesis of the conditional given as a true statement.)
Conclusion by the Law of Detachment: The grass is wet. (We conclude that the conclusion of the conditional is true.)
Now your problem:
Conditional: If Jillian gets a raise, then she will buy a new car.
Statement: Jillian got a raise.
Conclusion by the Law of Detachment: Jill will buy a new car.
