If `A={1,2,3,4,5}` then which of the following is not true?

Options

A. `0 cancel(in) A`
B. `3 inA`
C. `{3} in A`
D. `{3}subA`

Answer

To determine which statement is not true regarding the set \( A = \{1, 2, 3, 4, 5\} \), we will analyze each option step by step.

### Step-by-Step Solution:

1. **Identify the Set**:
We have the set \( A = \{1, 2, 3, 4, 5\} \).

2. **Evaluate the First Option**:
The first option states that \( 0 \notin A \).
- Since \( 0 \) is not one of the elements in set \( A \), this statement is **true**.

3. **Evaluate the Second Option**:
The second option states that \( 3 \in A \).
- The element \( 3 \) is indeed in set \( A \), so this statement is **true**.

4. **Evaluate the Third Option**:
The third option states that \( \{3\} \in A \).
- Here, we need to note that \( \{3\} \) is a set containing the element \( 3 \). However, \( A \) contains the element \( 3 \) but does not contain the set \( \{3\} \). Therefore, this statement is **false**.

5. **Evaluate the Fourth Option**:
The fourth option states that \( \{3\} \subseteq A \).
- A set \( B \) is a subset of set \( A \) if every element of \( B \) is also an element of \( A \). Since \( 3 \) is an element of \( A \), the set \( \{3\} \) is indeed a subset of \( A \). Thus, this statement is **true**.

### Conclusion:
The statement that is **not true** is \( \{3\} \in A \).