Write the following statements in symbols :
the negative integers greater than `-6`.

Answer

To express the statement "the negative integers greater than -6" in symbols, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the range of integers**: We are looking for negative integers that are greater than -6. This means we need to find integers that are less than 0 and greater than -6.

2. **Define the variable**: Let’s denote the negative integers we are looking for as \( x \).

3. **Set up the inequalities**:
- Since we want \( x \) to be greater than -6, we write the inequality:
\[ x > -6 \]
- Since we are only interested in negative integers, \( x \) must also be less than 0:
\[ x < 0 \]

4. **Combine the inequalities**: We can combine these two inequalities to express that \( x \) is both greater than -6 and less than 0:
\[ -6 < x < 0 \]

5. **Specify the set of integers**: Since we are looking for integers, we can denote that \( x \) belongs to the set of integers:
\[ x \in \mathbb{Z} \]

6. **Final expression**: Putting it all together, we can write the final expression as:
\[ -6 < x < 0, \quad x \in \mathbb{Z} \]

### Final Answer:
The negative integers greater than -6 can be expressed in symbols as:
\[ -6 < x < 0, \quad x \in \mathbb{Z} \]