Of the following numbers which is an Integer but does not belong in either of the subsets of Integers -13, 0 or 13
The number that is an Integer but does not belong in either of the subsets of Integers (-13, 0, or 13) is any number that lies in between these three numbers, such as -10.
To determine which number is an integer but does not belong in either of the subsets -13, 0, or 13, we need to understand what subsets of integers mean.
The set of integers includes positive whole numbers (1, 2, 3, ...), negative whole numbers (-1, -2, -3, ...), and zero (0). So, the first subset mentioned (-13, 0, 13) is a set that contains three specific integers -13, 0, and 13.
To find a number that is an integer but does not belong in either of the subsets -13, 0, or 13, we need to find an integer that is not one of these three numbers.
Let's list some integers and determine if they belong to either of the subsets:
-14: This belongs to the subset of negative integers, so it is not our answer.
-12: This doesn't belong to the given subset, so it might be our answer.
0: This belongs to the given subset, so it is not our answer.
12: This doesn't belong to the given subset, so it might be our answer.
14: This belongs to the subset of positive integers, so it is not our answer.
From the list, we can see that -12 and 12 are integers that do not belong to the subsets -13, 0, or 13. Therefore, these are the numbers that fit the criteria.
To determine the number that is an integer but does not belong in either of the subsets -13, 0, or 13, we need to find an integer that is not equal to any of these numbers.
Considering the subsets provided (-13, 0, 13), the integer that does not belong to either of them is any integer that is not -13, 0, or 13. This means there are an infinite number of integers that answer this question.
Here are some examples of integers that do not belong to either subset: -12, -1, 1, 14, 1000, and so on. So, any integer that is not -13, 0, or 13 will fulfill the requirement.