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Unformatted text preview: Homework #2 Suggested Solution • Section 2.1, Exercise 3 – (not homework problem, just for review) – Provide Counterexamples to the following statement • Every geometric figure with four angles is a square – Counterexample: a rectangle • If a real number is not positive, then it must be negative – Counterexample: 0 • All people with red hair have green eyes or are tall – Counterexample: one with red hair but not green eyes nor tall • All people with red hair have green eyes and are tall – Counterexample1: one with red hair but no green eyes – Another example: one with red hair but short • Section 2.1, Exercise 4 – Provide counterexamples to the following statements • The number n is an odd integer if and only if 3n+5 is an even integer – If n is an odd integer, then 3n+5 is an even integer (this part is true, so we can’t find a counterexample) – If 3n+5 is an even integer, then n is an odd integer (this part is not true, an counter example is: 3n+5 = 6, an even integer, but in this case, n=1/3, not an integer at all!) • The number n is an even integer if and only if 3n+2 is an even integer – Similar to above, if 3n+2 is an even integer, say 6, n=4/3, not an integer at all. • Section 2.1, Exercise 21Section 2....
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This note was uploaded on 10/23/2008 for the course CS 130 taught by Professor Yang during the Spring '08 term at Cal Poly Pomona.
 Spring '08
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