The need for integers

Give an example to satisfy the following statements : All integers are rational numbers but all rational numbers need not be integers.

A is a set of even integer, while B is a set of integers that are multiples of 3. There are 16 integers in set A, 22 integers in set B, and 7 integers in both sets. How many integers are in exactly one of the two sets?

The difference of two integers jis always an integer.

The sum of two integers is not an integer.

The sum of two integers is -95. If one of the integers is 15, find the other integer.

The sum of two integers is always an integer.

Write a pair of integers whose sum gives i zero, ii a negative integer, iii an integer smaller than both the integers, iv an integer greater than both the integers, v an integer smaller than only one of the integers.

Write a pair of integers whose difference gives i zero ii a negative integer iii an integer smaller than both the integers, iv an integer greater than both the integers, v an integer greater than only one of the integers.

For some integer q, every odd integer is of the form

There are infinitely many integers between any two integers