Physics, 08.10.2019 01:00 bluenblonderw
The following definitions will be used in the proof of the statement. an integer n is even if, and only if, n equals twice some integer. an integer n is odd if, and only if, n equals twice some integer plus 1. symbolically, for any integer, n n is even β n = 2k for some integer k n is odd β n = 2k + 1 for some integer k prove the following statement. the difference of any two odd integers is even. proof: let m and n be any odd integers. by definition of odd, there are integers r and s so that m can be expressed in terms of r and n can be expressed in terms of s as follows: m = n = write m β n in terms of r and s and factor out a 2 to obtain m β n = . now is an integer because of integers are integers. therefore, m β n = 2 Β· (an integer), and so m β n is by definition of .
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The following definitions will be used in the proof of the statement. an integer n is even if, and o...
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