Write all the possible subsets of A ={5,6}.

Answer

To find all the possible subsets of the set \( A = \{5, 6\} \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Set**:
We have the set \( A = \{5, 6\} \). This set contains 2 elements.

2. **Use the Subset Formula**:
The number of subsets of a set can be calculated using the formula \( 2^n \), where \( n \) is the number of elements in the set.
Here, \( n = 2 \) (since there are two elements: 5 and 6).

\[ \text{Number of subsets} = 2^n = 2^2 = 4 \]

3. **List All Possible Subsets**:
Now, we will list all the subsets. The subsets of a set include:
- The empty set \( \emptyset \)
- The set containing only the first element: \( \{5\} \)
- The set containing only the second element: \( \{6\} \)
- The set containing both elements: \( \{5, 6\} \)

Therefore, the subsets of \( A \) are:
\[ \emptyset, \{5\}, \{6\}, \{5, 6\} \]

### Final Answer:
The possible subsets of the set \( A = \{5, 6\} \) are:
\[ \emptyset, \{5\}, \{6\}, \{5, 6\} \]