Of the following numbers, which is an integer but does not belong in either of the subsets of integers: −13

To determine which number is an integer but does not belong in either of the subsets of integers, we first must identify the subsets in question. The most commonly referenced subsets of integers are positive integers (which consist of the numbers 1, 2, 3, ...) and negative integers (which consist of the numbers -1, -2, -3, ...).

Given the numbers:

• −13 (a negative integer)
• 0 (neither positive nor negative)
• 13 (a positive integer)

Since both −13 and 13 belong to the subsets of negative and positive integers respectively, while 0 does not belong to either of these subsets, the answer is:

0 is an integer but does not belong in either of the subsets of positive or negative integers.