The predecessor of a two-digit number is never a single-digit number.

Options

A. True
B. False
C. Cannot be determined
D. None of the above

Answer

To solve the question, "The predecessor of a two-digit number is never a single-digit number," we will analyze the concept of predecessors and two-digit numbers step by step.

### Step-by-Step Solution:

1. **Understanding Two-Digit Numbers**:
- Two-digit numbers are numbers that range from 10 to 99.
- The smallest two-digit number is 10, and the largest is 99.

2. **Definition of Predecessor**:
- The predecessor of a number is the number that comes just before it.
- Mathematically, the predecessor of a number \( n \) can be found using the formula:
\[ \text{Predecessor} = n - 1 \]

3. **Finding the Predecessor of the Smallest Two-Digit Number**:
- Let's take the smallest two-digit number, which is 10.
- The predecessor of 10 is calculated as follows:
\[ \text{Predecessor of 10} = 10 - 1 = 9 \]
- Here, 9 is a single-digit number.

4. **Conclusion**:
- Since we found that the predecessor of the two-digit number 10 is 9 (a single-digit number), the statement "The predecessor of a two-digit number is never a single-digit number" is false.

### Final Answer:
The statement is false because the predecessor of the two-digit number 10 is 9, which is a single-digit number.