State whether the given statement is true or false :
If A is the set of all non- negative integers, then `0 in A .`

Answer

To determine whether the statement "If A is the set of all non-negative integers, then 0 is in A" is true or false, we can follow these steps:

### Step-by-Step Solution:

1. **Define Non-Negative Integers**:
Non-negative integers are defined as integers that are either positive or zero. This means they include all whole numbers starting from 0 and going upwards.

2. **List the Non-Negative Integers**:
The set of non-negative integers can be represented as:
\[ A = \{0, 1, 2, 3, 4, 5, \ldots\} \]
Here, we can see that the set starts with 0 and includes all positive integers.

3. **Check if 0 is in Set A**:
Since the definition of the set A includes 0, we can conclude that:
\[ 0 \in A \]
This means that 0 is indeed an element of the set of non-negative integers.

4. **State the Conclusion**:
Since we have established that 0 is included in the set of non-negative integers, we can conclude that the statement "0 is in A" is true.

### Final Answer:
The statement is **True**.

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