Give an integer value x if
`-3ltxlt-1`

Answer

To solve the inequality \(-3 < x < -1\), we need to find an integer value for \(x\) that lies between \(-3\) and \(-1\).

### Step-by-Step Solution:

1. **Identify the boundary integers**: The inequality states that \(x\) must be greater than \(-3\) and less than \(-1\). The two integers we are looking at are \(-3\) and \(-1\).

2. **Draw a number line**: Visualizing the number line helps us understand where \(-3\) and \(-1\) are located.
- To the left of \(-3\) are integers like \(-4, -5, -6\), and to the right of \(-1\) are integers like \(0, 1, 2\).
- The integers between \(-3\) and \(-1\) are \(-2\).

3. **Find the integer between \(-3\) and \(-1\)**: The only integer that lies strictly between \(-3\) and \(-1\) is \(-2\).

4. **Conclusion**: Therefore, the integer value of \(x\) that satisfies the inequality \(-3 < x < -1\) is \(-2\).

### Final Answer:
\(x = -2\)

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