If x is an even number, what is the consecutive odd number?
A. x-1
B. x+1
C. x+2
D. X-2

Options

A. A
B. B
C. C
D. D

Answer

To solve the problem, we need to determine the consecutive odd number that follows an even number \( x \).

### Step-by-Step Solution:

1. **Understanding Even and Odd Numbers**:
- Even numbers are integers that can be divided by 2 without leaving a remainder (e.g., 0, 2, 4, 6, ...).
- Odd numbers are integers that cannot be divided by 2 evenly (e.g., 1, 3, 5, 7, ...).

2. **Identifying the Next Number**:
- If \( x \) is an even number, the next integer after \( x \) is \( x + 1 \).

3. **Determining if the Next Integer is Odd**:
- Since \( x \) is even, adding 1 to it will yield an odd number. For example:
- If \( x = 2 \), then \( x + 1 = 3 \) (which is odd).
- If \( x = 4 \), then \( x + 1 = 5 \) (which is also odd).

4. **Conclusion**:
- Therefore, the consecutive odd number after an even number \( x \) is \( x + 1 \).

### Final Answer:
The correct option is **B. \( x + 1 \)**.

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