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Write a valid conclusion using the Law of Detachment or Law of Syllogism given the statements below, and indicate which law was used?

1) If it snows tomorrow, there will be a snow day.
2) If tomorrow is a snow day, Sam will have another day to study for his quiz.
Choose the correct option:

a)The Law of Detachment was used to conclude that if it snows tomorrow, Sam will have another day to study for his quiz.
b)The Law of Syllogism was used to conclude that if it snows tomorrow, Sam will have another day to study for his quiz.
c)The Law of Detachment was used to conclude that if tomorrow is a snow day, there will be a snow day.
d)The Law of Syllogism was used to conclude that if tomorrow is a snow day, there will be a snow day.

1 Answer

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Final answer:

The Law of Syllogism was used to conclude that if it snows tomorrow, Sam will have another day to study for his quiz.

Step-by-step explanation:

The Law of Syllogism was used to conclude that if it snows tomorrow, Sam will have another day to study for his quiz.

In this case, the Law of Syllogism is applied by combining the first statement "If it snows tomorrow, there will be a snow day" with the second statement "If tomorrow is a snow day, Sam will have another day to study for his quiz."

By applying the Law of Syllogism, we can conclude that if it snows tomorrow, Sam will have another day to study for his quiz.

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