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Unformatted text preview: . Similarly, a < b and a is negative imply that ab < a 2 . Hence b 2 < ab < a 2 as desired. Part I Problems #1: For the solution to the ﬁrst part of the problem, please see #2.5 (i). The contrapositive of the statement (i) ( f ( a ) = 0 ⇒ a > 0) is (vii): For real numbers a , if a is nonpositive then f ( a ) 6 = 0. The statements (iii) and (vi) are another pair of statements which are contrapositives of each other....
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 Spring '06
 Knutson
 Math, Logic, Negative and nonnegative numbers, ab < a2, negative imply

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