In order to start, rewrite the situation as three conditional statements and use the Law of Syllogism to make a conclusion.
Price: $5.99 Explanation: See solution.
Practice makes perfect
In order to start the solution, we will rewrite the situation as three conditional statements.
Statement I: If it is the night of your weekly basketball game, then your family eats at your favorite restaurant.
Statement II: If your family eats at your favorite restaurant, then you always get chicken fingers.
Statement III: If it is Tuesday, then it is the night of your weekly basketball game.
Now, we can decide how much we pay for chicken fingers after our game. Since the conclusion of Statement III matches the hypothesis of Statement I, let's use the Law of Syllogism to make our first conclusion.
If p → q &is true
and q → r &is true,
then p → r &is true.
Applying the Law of Syllogism, we can make a valid conclusion.
Conclusion I
If it is Tuesday,
then your family eats at your favorite restaurant.
Next, when we compare Conclusion I and Statement II, we see that the conclusion of Conclusion I matches the hypothesis of Statement II. Thus, we will use the Law of Syllogism one more time.
If p → r &is true
and r → s &is true,
then p → s &is true.
Having used the Law of Syllogism, we have the following final conclusion.
Conclusion II
If it is Tuesday,
then you always get chicken fingers.
As a result, we pay $5.99 for chicken fingers after our game.
