If `A sube B and B sube C ,` then

Options

A. `B subeA`
B. `C subeA`
C. `C subeB`
D. `A subeC`

Answer

To solve the problem, we need to understand the concept of subsets in set theory.

### Step-by-Step Solution:

1. **Understanding Subsets**:
- A set \( A \) is said to be a subset of set \( B \) (denoted as \( A \subseteq B \)) if every element of \( A \) is also an element of \( B \).
- Similarly, if \( B \subseteq C \), then every element of \( B \) is also an element of \( C \).

2. **Given Information**:
- We are given that \( A \subseteq B \) and \( B \subseteq C \).

3. **Transitive Property of Subsets**:
- The subset relation is transitive. This means that if \( A \subseteq B \) and \( B \subseteq C \), then it follows that \( A \subseteq C \).

4. **Conclusion**:
- Therefore, from the given information, we can conclude that \( A \subseteq C \).

5. **Identifying the Correct Option**:
- If the options provided include the statement "A is a subset of C", then that is the correct answer.

### Final Answer:
- \( A \subseteq C \)