MAD 2104 Midterm: MAD 2104 FIU ds Test 1b aspr 00
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Page 1 of 4: (15 pts. ) following compound propositions in the space provided: Construct the truth tables for each of the (a) p q (b) p (c) p q : See pages 3 through 7: (10 pts. ) If the air is not greasy, then the bacon. If the air is greasy, then the bacon will. Only the contrapositive is equivalent to the original statement: (15 pts. ) Let f(x,y) be the statement "x can fool y". universe of discourse is all people. each of the following statements: The (a) frodo can fool everyone. ( x)f(frodo,x) (b) gandalf can fool no one. equivalently ( x) f(gandalf,x) ( x)f(gandalf,x) or (c) someone can fool everyone. ( x)( y)f(x,y: (10 pts. ) following statements if the universe of discourse of each variable is the set of real numbers, . Determine the truth value of each of the (a) ( x)( y)(x y = 0) true (b) ( x)( y)(x y = 0) true: (15 pts. )
