If A={3,5,7,9,11}, then write which of the following statements are true. If a statement is not true, mention why.
`{3}inA`

Answer

To determine whether the statement `{3} in A` is true or false, we will analyze the elements of the set A and the notation used in the statement.

### Step-by-Step Solution:

1. **Identify the Set A**:
The set A is given as:
\[ A = \{3, 5, 7, 9, 11\} \]

2. **Understand the Statement**:
The statement `{3} in A` means that we are checking if the set containing the element 3 (which is `{3}`) is an element of the set A.

3. **Check the Elements of A**:
The elements of set A are:
- 3
- 5
- 7
- 9
- 11

Here, 3 is an element of A, but `{3}` (which is a set containing the element 3) is not listed as an element of A.

4. **Conclusion**:
Since the set `{3}` is not one of the elements in A, the statement `{3} in A` is **false**.

5. **Reasoning**:
The reason the statement is false is that `{3}` is a set, while A contains individual numbers as its elements. For a statement like `{3} in A` to be true, the set `{3}` would need to be explicitly listed as an element of A, which it is not.

### Final Answer:
The statement `{3} in A` is **false** because `{3}` is not an element of the set A.

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