For the inequality \(|x| > -2\), we need to consider the definition of absolute value. 

The absolute value of any real number \(x\) is always non-negative, meaning \(|x| \geq 0\) for all real \(x\). Since the inequality is \(|x| > -2\), and because \(-2\) is always less than \(0\), the inequality \(|x| > -2\) is always true for any real number \(x\).

Therefore, the solution to the inequality \(|x| > -2\) is:

\[
x \in \mathbb{R}
\]

This means \(x\) can be any real number.

Would you like more details or have any questions about this solution? Here are five more questions you might be interested in:

1. How do you solve inequalities involving absolute values?
2. What are the properties of absolute value functions?
3. How do you solve compound inequalities?
4. What are the steps to graph absolute value functions?
5. How do you solve equations involving absolute values?

**Tip:** When solving inequalities, always consider the nature of the expressions involved, especially when dealing with absolute values and their properties.

Learn how to solve the absolute value inequality |x| > -2 with a detailed explanation. This problem involves understanding the properties of absolute value and inequalities. Suitable for students in Grades 9-12.

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