Question

11. In each of the following sets, tell if a. multiplication, b. subtraction, c. division, and d. addition are well-defined operations. If not, give an example to show why not. These are the different sets: {0, 1, 2, 3, 4, ...} .. . {1, 3, 5, 7, ...}

Answer 1

Explanation:

{0, 1, 2, 3, 4, ...} in set #1, addition by 1 , subtraction by -1, multiplication by 1 then addition of 1 or subtraction of -1, and division by one then addition of 1 or subtraction of -1 exist and are all well defined operations, since they yield the same result every time in a constant pattern (there are not the only examples)

{1, 3, 5, 7, ...} in set #2 addition by 2, subtraction by -2, multiplication by 1 then addition of 2 or subtraction of -2, and division by one then addition of 2 or subtraction of -2 exist and are all well defined operations, since they yield the same result every time in a constant pattern (there are not the only examples)