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(a) Use the method of generalizing from the generic particular in a direct proof to show that the sum of any two odd integers is even.

19 / 01 / 2019 Maths

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Question 1: [25 marks]
(a) Use the method of generalizing from the generic particular in a direct proof to show that the sum of any two odd integers is even. See the example on page 152 (4th ed) for how to lay this proof out.
(b) Determine whether 0.151515... (repeating forever) is a rational number. Give reasoning.
(c) Use proof by contradiction to show that for all integers n, 3n + 2 is not divisible by 3. (d) Is {{5,4},{7,2},{1,3,4},{6,8}} a partition of {1,2,3,4,5,6,7,8}? Why?


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