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# tut4large - Problems to Week 5 Tutorial MACM 101 1....

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Problems to Week 5 Tutorial — MACM 101 1. Determine which of the following arguments are valid and which are invalid. Provide an explanation for each answer. (Let the universe consist of all people presently residing in Canada.) (a) All mail carriers carry a can of mace. Mrs. Bacon is a mail carrier. Therefore Mrs. Bacon carries a can of mace. (b) All law-abiding citizens pay their taxes. Mr. Pelosi pays his taxes. Therefore Mr. Pelosi is a law-abiding citizen. (c) All people who are concerned about the environment recycle their plastic containers. Margarite is not concerned about the environment. Therefore Margarite does not recycle her plastic containers. 2. For a prescribed universe and any open statements P ( x ) ,Q ( x ), prove that x ( P ( x ) Q ( x )) ⇐⇒ ( x P ( x )) ( x Q ( x )) . 3. Provide the reasons for the steps verifying the following argument. (Here a denotes a speciﬁc but arbitrary chosen element from the given uni- verse.) (For Step 9 refer to Table 2.19 in the textbook.)

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## This note was uploaded on 12/12/2010 for the course MACM 201 taught by Professor Marnimishna during the Fall '09 term at Simon Fraser.

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tut4large - Problems to Week 5 Tutorial MACM 101 1....

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