Which of the following statements is INCORRECT?

Options

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

Answer

To determine which statement is incorrect among the given options, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Statement 1: Every integer is a rational number.**
- An integer can be expressed in the form of p/q, where q is not zero. For example, the integer 5 can be written as 5/1, and -3 can be written as -3/1. Therefore, this statement is **correct**.

2. **Statement 2: Every natural number is an integer.**
- Natural numbers are defined as the set of positive integers starting from 1 (i.e., 1, 2, 3, ...). Since all natural numbers are included in the set of integers (which includes positive, negative integers, and zero), this statement is also **correct**.

3. **Statement 3: Every natural number is a real number.**
- Real numbers include all rational numbers (which include integers and natural numbers) and irrational numbers. Since natural numbers are a subset of real numbers, this statement is **correct**.

4. **Statement 4: Every real number is a rational number.**
- Real numbers consist of both rational numbers (like integers and fractions) and irrational numbers (like √2, π, etc.). Since not all real numbers can be expressed as a fraction p/q, this statement is **incorrect**.

### Conclusion:
The incorrect statement is **Statement 4: Every real number is a rational number**.