For the statement "17 ia a real number or a positive integer", the "or" is

Options

A. Inclusive
B. Exclusive
C. Only
D. None of these

Answer

To determine the nature of the "or" in the statement "17 is a real number or a positive integer," we need to analyze the definitions of inclusive and exclusive "or."

### Step-by-Step Solution:

1. **Understanding the Terms**:
- **Real Number**: A real number includes all the rational and irrational numbers. This means that integers, fractions, and decimals are all real numbers.
- **Positive Integer**: A positive integer is a whole number greater than zero. The set of positive integers includes numbers like 1, 2, 3, and so on.

2. **Analyzing the Statement**:
- The statement claims that "17 is a real number or a positive integer."
- We need to check if both parts of the statement can be true at the same time.

3. **Evaluating Each Component**:
- First, we check if 17 is a real number. Yes, 17 is a real number because it is an integer.
- Next, we check if 17 is a positive integer. Yes, 17 is also a positive integer because it is greater than zero and is a whole number.

4. **Determining the Type of "or"**:
- **Inclusive "or"** means that at least one of the statements can be true, and both can be true at the same time.
- **Exclusive "or"** means that only one of the statements can be true, but not both.

5. **Conclusion**:
- Since both statements ("17 is a real number" and "17 is a positive integer") are true, the "or" in the statement is an **inclusive "or."**

### Final Answer:
The "or" in the statement "17 is a real number or a positive integer" is an **inclusive "or."**