Which statement about real numbers is true?

Across the heading says: real numbers.
The first big circle says: rational numbers
The second biggest circle inside rational numbers says: integers
The third circle within the rational numbers says: whole numbers.
Then there is a circle off to the side by itself that says: irrational numbers.

A. Every rational number is an integer.
B. every real number is a rational number.
C. Every integer is a rational number.
D. Every irrational number is an integer.

I think it is C.

Thank You.

Well, I am busy drawing your Venn diagram

I didn't know how to submit it sorry

You don't have to worry about it - I never submitted one of these before. I thought the explanation was good

Not A integer is subset of rational

Not B, rational is a subset of Real

Yes C, Integer is a subset of Rational

Not D Irrational is certainly not in the integer circle

Thank you.

You are welcome.

You are correct! Statement C is true.

To understand why statement C is true, let's break down the information provided in the diagram you mentioned.

1. Real numbers: Real numbers include both rational and irrational numbers. Rational numbers can be expressed as fractions or ratios of two integers, while irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal representations.

2. Rational numbers: Rational numbers are numbers that can be expressed as a fraction p/q, where p and q are integers and q is not equal to 0.

3. Integers: Integers are whole numbers and their negative counterparts, including zero. Integers do not include numbers with decimal parts.

4. Whole numbers: Whole numbers are non-negative integers, including zero.

Based on this information, we can determine that every integer is a rational number. This is because every integer can be expressed as a fraction where the denominator is 1 (e.g., the integer 7 can be written as 7/1).

Therefore, statement C, "Every integer is a rational number," is true.

Let me know if I can help you with anything else!