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# hw3b - the thing you’re trying to prove ±or the theorems...

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Math 300A&B Introduction to Mathematical Reasoning Fall 2009 Assignment #3: Due Wednesday, 10/21/09 Part II: 1. Prove each of the following theorems from the handout The Real Numbers and the Integers . Each proof should be a two-column proof like the ones we’ve been doing in class. As far as possible, try to limit each step to one single justification. Be careful to avoid the “high-school algebra fallacy”—creating a circular argument by assuming
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Unformatted text preview: the thing you’re trying to prove. ±or the theorems that include two conclusions (such as 3(d) and 4(a)), prove the Frst one only—for example, in 3(d), you only need to prove that (-a ) b =-( ab ). • Theorem 3(b). • Theorem 3(c). • Theorem 3(d) (Frst equation only). • Theorem 4(a) (Frst equation only). • Theorem 4(d). • Theorem 5(b)....
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