If `A sube B and B subX`, the the correct option is :

Options

A. `A sub X`
B. `A sube X`
C. `X sub A`
D. `X sube A`

Answer

To solve the problem step by step, we will analyze the given conditions and determine the correct option based on the relationships between the sets A, B, and X.

### Step-by-Step Solution:

1. **Understanding the Given Information:**
- We are given that \( A \subseteq B \) (A is a subset of B) and \( B \subseteq X \) (B is a subset of X).
- Additionally, it is stated that \( A = B \).

2. **Analyzing the First Condition:**
- Since \( A \subseteq B \) and \( A = B \), we can conclude that all elements of A are in B, and since A is equal to B, they contain the same elements. Therefore, \( A \) and \( B \) are identical sets.

3. **Analyzing the Second Condition:**
- The condition \( B \subseteq X \) means that all elements of B are also in X. Since we established that \( A = B \), it follows that all elements of A are also in X.

4. **Conclusion About Set A:**
- From the above analysis, we can conclude that \( A \subseteq X \) is true because all elements of A are also in X.

5. **Considering the Equality:**
- Since \( A = B \) and \( B \) is not equal to \( X \) (as stated in the video), we cannot conclude that \( A = X \). Therefore, while \( A \) is a subset of \( X \), it is not equal to \( X \).

6. **Final Conclusion:**
- The correct option is that \( A \subseteq X \) but \( A \neq X \).

### Summary of the Answer:
- The correct option is that \( A \subseteq X \) and \( A \neq X \).