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Unformatted text preview: (b) If n is prime, then it is odd. (c) For n to be composite, a necessary condition is that it not be even. (d) If n is even, then either it is composite or it is equal to 2. (e) If n is equal to 4, then it is neither prime nor odd. (f) n is odd if it is prime and not equal to 2. For each implication, do the following: (i) Determine the hypothesis and the conclusion. (ii) Translate it into a symbolic statement. (iii) Write its negation in symbolic form, and simplify it. (iv) Translate the negation back into an English statement. Use the abbreviations P ( n ), C ( n ), E ( n ), and O ( n ) with the same meanings as in Problem 4 of Assignment 1....
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- Spring '08