6. Proof by generalization from generic particular that the sum of an odd integer and an even integer is odd. (3 marks)
Accepted Solution
A:
Step-by-step explanation:Consider the variables a and b, whereas a is an odd integer and b is an even integer.By definition: a = 2x + 1 and b = 2y (values for which x;y are integers)The summation of a and be would be: a + b = 2x + 2y + 1 Simplifying the equation: 2x + 2y + 1 =2(x + y) + 1 =2m + 1 (values for which m = x + y is an integer)Therefore by definition of an odd integer (2x + 1), it is clear that the sum of an odd integer and an even integer is odd.