FindMistakeProblems - Ch. 4 Find the Mistake Problems...

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Ch. 4 Find the Mistake Problems Mistake A Prove: The square of any even integer is even. Beginning of proof: Suppose that r is any integer. Then if m is any even integer, m = 2 r… Mistake B Prove directly from the definition of even: For all even integers n , ( - 1) n = 1 . Beginning of proof: Suppose n is any even integer. Then n = 2 r for some integer r . By substitution, ( - 1) n = ( - 1) 2 r = 1 because 2 r is even. ...
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Mistake C Prove directly from the definition of even: For all even integers n , ( - 1) n = 1 . Beginning of proof: Suppose n is any even integer. Then n = 2 r for some integer r . By substitution, ( - 1) 2 r = (( - 1) 2 ) r .... Mistake D Prove: For all integers a and b , if a and b are divisible by 3 then a + b is divisible by 3. Beginning of proof: Suppose that for all integers a and b , if a and b are divisible by 3 then a + b is divisible by 3. By definition of divisibility, . ...
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Mistake E Prove: For all integers a , if 3 divides a , then 3 divides a 2 . Beginning of proof: Suppose a is any integer such that 3 divides a . Then a = 3 k for any integer k ....
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FindMistakeProblems - Ch. 4 Find the Mistake Problems...

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