Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Inductive and Deductive Reasoning
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Exercise 18 Page 456

According to the Law of Detachment, if the hypothesis of a true conditional statement is true, then the conclusion is also true.

Not possible to determine.

Practice makes perfect

According to the Law of Detachment, if the hypothesis of a true conditional statement is true, then the conclusion is also true. Let's identify the hypothesis, p, and conclusion, q. If your parents let you borrow the car, then you will go to the movies with your friends. From the exercise, we know you will go to the movies with your friends, which means the conclusion is true. However, with only this information we cannot determine if your parents let you borrow the car with the Law of Detachment.