We are asked to state the law of logic that is illustrated in this exercise. Let's start by analyzing the first statement.
If you miss practice the day before a game,
then you will not be a starting
player in the game.We can see that this is a true conditional statement. We can identify the hypothesis p and the conclusion q in this statement.
If you miss practice the day before a game,
then you will not be a starting
player in the game.
Now let's recall the Law of Detachment.
Law of Detachment
If the hypothesis of a true conditional statement is true, then the conclusion is also true.
In the exercise, the second statement says that we miss practice on Tuesday, which is the day before our game. This means that the hypothesis of the true conditional statement is true. By the Law of Detachment, we can conclude that we will not start the game on Wednesday. Since this conclusion is given in the last statement, the exercise illustrates the Law of Detachment.
