That is called the set of "integers".
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To any set that contains it! It belongs to {-15}, or {sqrt(2), -15, pi, -3/7}, or all whole numbers between -43 and 53, or multiples of 5, or composite numbers, or integers, or rational numbers, or real numbers, or complex numbers, etc.
To any set that contains it! It belongs to {1.5}, or {1.5, sqrt(2), pi, -3/7}, or all whole numbers to 1 decimal place between 1 and 53, or multiples of 0.5, or rational numbers, or real numbers, or complex numbers, etc.
Yes.
To any set that contains it! It belongs to {-22}, or {-22, sqrt(2), pi, -3/7}, or all whole numbers between -43 and 53, or multiples of 11, or composite numbers, or integers, or rational numbers, or real numbers, etc.
It depends on your definition of whole numbers. The classic definition of whole numbers is the set of counting numbers and zero. In this case, the set of whole numbers is not closed under subtraction, because 3-6 = -3, and -3 is not a member of this set. However, if you use whole numbers as the set of all integers, then whole numbers would be closed under subtraction.