The inequality \( x < 2 \) and \( x \geq -2 \) can be combined to describe a range of values for \( x \). 

1. The first part, \( x < 2 \), means that \( x \) can take any value less than 2.
2. The second part, \( x \geq -2 \), means that \( x \) can take any value greater than or equal to -2.

When you combine these two inequalities, you get the compound inequality:

\[
-2 \leq x < 2
\]

This means \( x \) can be any value between \(-2\) and \(2\), including \(-2\) but not including \(2\).

### Do you want details or have any questions? 

Here are five related questions:

1. How would the solution change if the inequality was \( x \leq 2 \) instead of \( x < 2 \)?
2. Can you graph the solution set for this compound inequality?
3. What would be the solution if the inequality was \( x < -2 \) and \( x \geq 2 \)?
4. How do you solve compound inequalities that involve "or" instead of "and"?
5. What are some real-world scenarios where compound inequalities are used?

**Tip:** When solving compound inequalities, carefully consider whether you're dealing with an "and" (intersection) or "or" (union) situation, as this determines how the solutions are combined.

Explore the solution to the compound inequality x < 2 and x ≥ -2 in detail. Understand how to combine and interpret inequalities to determine the range of possible values for x. Suitable for Grades 7-9.

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