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Give an integer value x if -5ltxlt-2...

Give an integer value x if
`-5ltxlt-2`.

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The correct Answer is:
To solve the inequality \(-5 < x < -2\) and find the integer values of \(x\), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Inequality**: The inequality states that \(x\) is greater than \(-5\) and less than \(-2\). This means we are looking for numbers that lie between these two values. 2. **Identify the Range**: The range of integers we need to consider is between \(-5\) and \(-2\). We can visualize this on a number line. 3. **Draw a Number Line**: - Mark the points \(-5\) and \(-2\) on the number line. - The numbers that we are interested in are those that fall between these two points. 4. **List the Integers**: The integers that lie between \(-5\) and \(-2\) are: - \(-4\) - \(-3\) 5. **Conclusion**: Therefore, the integer values of \(x\) that satisfy the inequality \(-5 < x < -2\) are \(-4\) and \(-3\). ### Final Answer: The integer values of \(x\) are \(-4\) and \(-3\).
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