Question

Consider the set of integers greater than -2 and less than 6. A subset of this set is the positive factors of 5. What is the complement of this subset?

A. {0, 2, 3, 4}
В. {-1, 0, 2, 3, 4}
C. {-2, -1, 0, 2, 3, 4, 6}
D. {-2, -1, 0, 1, 2, 3, 4, 5, 6}

Answer 1

The complement of the subset of positive factors of 5 in the given range is {-2, -1, 0, 2, 3, 4, 6}.

Step-by-step explanation:

The positive factors of 5 are 1 and 5. To find the complement of this subset, we need to identify all the integers greater than -2 and less than 6 that are not positive factors of 5.

The integers in this range are -1, 0, 1, 2, 3, 4, and 5. The positive factors of 5 are 1 and 5, so the complement of this subset would be the integers that are not positive factors of 5, which are -1, 0, 2, 3, and 4.

Therefore, the answer is C. {-2, -1, 0, 2, 3, 4, 6}.