Which set of numbers includes only integers?

Question

A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers.
Negative 5, negative 3 and one-fourth, 1, one-eighth
Negative 3, negative 2, 2, 3
Negative 6, negative 4, negative 2, negative one-half
One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0

Answer 1

To identify the set of numbers that includes only integers, we should first define what integers are: integers are whole numbers that can be positive, negative, or zero, and they do not include fractions or decimals.

Now, let's analyze each option:

1. Negative 5, negative 3 and one-fourth, 1, one-eighth

   • This set includes negative integers (-5, -3) and positive integers (1) but also includes one-fourth and one-eighth, which are not integers.

2. Negative 3, negative 2, 2, 3

   • All values in this set are integers: -3, -2, 2, and 3.

3. Negative 6, negative 4, negative 2, negative one-half

   • This set includes negative integers (-6, -4, -2) but also negative one-half, which is not an integer.

4. One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0

   • This set includes fractions (one-half, two-thirds, 6/7) and 0, which is an integer but does not consist of only integers.

Based on this analysis, the set that includes only integers is:

Negative 3, negative 2, 2, 3.