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M135F08A2

# M135F08A2 - MATH 135 Assignment#2 Fall 2008 Due Wednesday...

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MATH 135 Fall 2008 Assignment #2 Due: Wednesday 24 September 2008, 8:20 a.m. N.B. Assignments 3 to 9 will not be distributed in class. You must download them from the course Web site. Hand-In Problems 1. In parts (a) to (g), state whether the given statement is TRUE or FALSE. (No explanation is necessary.) In parts (h) to (k), write down the answer. (a) “4 is even or 5 is even.” (b) “4 is even and 5 is even.” (c) “It is not TRUE that (4 is odd and 5 is odd).” (N.B. The parentheses are included to make this statement less ambiguous.) (d) “If n is odd, then n 2 is even.” (e) “ x y, x = - y ” (The Universe of discourse is the integers.) (f) “ y x, x = - y ” (The Universe of discourse is the integers.) (g) “ x y, x 2 y 2 ” (The Universe of discourse is the integers.) (h) Write down the converse of “If n is odd, then n 2 is odd”. (i) Write down the contrapositive of “If n is odd, then n 2 is odd”. (j) Express the following statement as an English sentence: “ x y, x 2 y 2 ”. (The Universe of Discourse is the integers.)

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