# ds-t1 - NAME TEST1/MAD2104 Page 1 of 4 General directions...

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NAME: TEST1/MAD2104 Page 1 of 4 _________________________________________________________________ General directions: Read each problem carefully and do exactly what is requested. Show all your work neatly. Use complete sentences and use notation correctly. Make your arguments and proofs as complete as possible. Remember that what is illegible or incomprehensible is worthless. Show me all the magic on the page. _________________________________________________________________ 1. (10 pts.) Construct the truth tables for each of the following compound propositions in the space provided: (a) ¬p q (b) ¬(p q) _________________________________________________________________ 2. (5 pts.) Suppose p and q are propositions. What is the difference between "p q" and "p q"? _________________________________________________________________ 3. (10 pts.) Write the contrapositive and converse of the statement, "If horses have wings, then the Pegasus needs dramamine," and label these unambiguously. Which of these fails to be equivalent to the original statement?

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TEST1/MAD2104 Page 2 of 4 _________________________________________________________________ 4. (15 pts.) Let F(x,y) be the statement "x can fool y". The universe of discourse is all people. Use quantifiers to express each of the following statements: (a) There is someone whom Frodo can fool.
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