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Which diagram and explanation describe the relationship between the sets of integers and natural numbers?

Answer options with 4 options
A.
A Venn diagram showing Real Numbers. It has two circles: Natural Numbers and Integers. The entire Natural Numbers circle is inside the Integers circle.

All natural numbers are also integers.

B.
A Venn diagram showing Real Numbers. It has two circles: Natural Numbers and Integers. The entire Integers circle is inside the Natural Numbers circle.

All integers are also natural numbers.

C.
A Venn diagram showing Real Numbers. It has two circles: Natural Numbers and Integers. The two circles have a small area of overlap.

Some natural numbers are also integers.

D.
A Venn diagram showing Real Numbers. It has two circles: Natural Numbers and Integers. The two circles are separate and do not overlap.

Integers and natural numbers have no numbers in common.

1 answer

The correct option is:

A.
A Venn diagram showing Real Numbers. It has two circles: Natural Numbers and Integers. The entire Natural Numbers circle is inside the Integers circle.

Explanation: All natural numbers (which are 1, 2, 3, ...) are also integers (which include all positive whole numbers, zero, and negative whole numbers), but not all integers are natural numbers (since integers also include negative numbers and zero). Therefore, the relationship is that the set of natural numbers is a subset of the set of integers.