07au366exam1pr

# 07au366exam1pr - Math 366 Practice Problems for Exam 1 1....

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Math 366 Practice Problems for Exam 1 Autumn 2007 1. Each of the following statements has one of the forms p p q p q p q p q Find the appropriate form and indicate what each statement variable in your choice represents. (a) If Archibald passes the ﬁrst exam, then he will not drop the course. (b) The moon is not made of green cheese. (c) Clem is happy if and only if he is laying in the sun. (d) Either the rain will stop or the river will overﬂow. (e) Spiro won and Frank didn’t win. 2. Use a truth table to verify the following logical equivalence. ( p q ) ( p ∧ ∼ q ) ( p q ) 3. Show that each of the following arguments has a valid argument form by exhibiting such a form. Explain what each statement variable in your form represents. Hint: Use table 1.3.1. (a) I’ll either get a Christmas bonus or I’ll sell my motorcycle. If I get a Christmas bonus, then I’ll buy a CD player. If I sell my motorcycle, then I’ll buy a CD player.

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## 07au366exam1pr - Math 366 Practice Problems for Exam 1 1....

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