Test1/mad2104 page 2 of 4 4(15 pts let f(x,y be the

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Unformatted text preview: 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. (b) Gandalf fools everyone. (c) The only person Frodo can fool is himself. _________________________________________________________________ 5. (5 pts.) Determine the truth value of each of the following statements if the universe of discourse of each variable is the set of natural numbers, = {0,1,2,...}. (a) ( ∀ x)( ∃ y)(x + y = y) (b) ( ∃ x)( ∀ y)(x + y = y) _________________________________________________________________ 6. (5 pts.) If A is a countable set and B is an uncountable set, must A - B be countable? Briefly explain. TEST1/MAD2104 Page 3 of 4 _________________________________________________________________ 7. (15 pts.) Suppose A = { ∅ ,{ ∅ },2} and B = {2,3}. Then A ∪ B = A × B = |P(A)| = _________________________________________________________________ 8. (5 pts.) Suppose A and B are subsets of a universal set U....
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TEST1/MAD2104 Page 2 of 4 4(15 pts Let F(x,y be the...

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