If A = {a,b,c} and X = {a,b,c} , then `A cap X ` = ________.

Options

A. A
B. A'
C. `phi`
D. `mu`

Answer

To solve the problem of finding the intersection of sets A and X, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Sets**:
- Set A = {a, b, c}
- Set X = {a, b, c}

2. **Understand Intersection**:
- The intersection of two sets, denoted as A ∩ X, is the set of elements that are common to both sets.

3. **Find Common Elements**:
- Look at both sets A and X.
- The elements in set A are: a, b, c.
- The elements in set X are: a, b, c.

4. **List the Common Elements**:
- Since all elements in set A (a, b, c) are also present in set X (a, b, c), the common elements are: a, b, c.

5. **Write the Result**:
- Therefore, A ∩ X = {a, b, c}.

### Final Answer:
A ∩ X = {a, b, c}

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