Question

teacher voice - as long as the conclusion of one conditional statement is the hypothesis of the other, you can use the law of syllogism to make a conclusion. the order in which the statements are given does not affect whether you can use the law of syllogism. example 5 - using the law of syllogism if possible, use the law of syllogism to write a new conditional statement that follows from the pair of true statements. a) if you get an a on your math test, then you can go to the movies. if you go to the movies, then you can watch your favorite actor. the conclusion of the first statement is the hypothesis of the second statement. so you can write the following new statement. > if you get an a on your math test, then you can watch your favorite actor. b) if i walk to school, then i will wear my walking shoes. if it does not rain, then i will walk to school. the conclusion of the second statement is the hypothesis of the first statement. so you can write the following new statement. > if it does not rain, then i will wear my walking shoes. c) if the bank robber steals the money, then the sheriff will track him down. if the bank robber steals the money, then the bank robber will be rich. neither statements conclusion is the same as the other statements hypothesis. > you cannot use the law of syllogism to write a new conditional statement. visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try this\ problem(s) below. try this video for extra example 5 - using the law of syllogism if possible, use the law of syllogism to write a new conditional statement that follows from the pair of true statements. 4) if soccer practice is canceled, then you can go to the mall after school. if it is raining today, then soccer practice is canceled. 5) if a figure is a rectangle, then all interior angles are right angles. if a figure is a square, then all interior angles are right angles. integrated math 1 b credit 2 page 20

Explanation:

Step1: Analyze statement 4

The conclusion of "If it is raining today, then soccer practice is canceled." is the hypothesis of "If soccer practice is canceled, then you can go to the mall after school."

Step2: Apply Law of Syllogism

We can combine them to form a new statement.

Step3: Analyze statement 5

The conclusion of "If a figure is a rectangle, then all interior angles are right - angles." is not the hypothesis of "If a figure is a square, then all interior angles are right - angles." and vice - versa, so we can't use the Law of Syllogism.

Answer:

1. If it is raining today, then you can go to the mall after school.
2. You cannot use the Law of Syllogism to write a new conditional statement.