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The problem asks to select the compound inequality that represents the statement: "A quantity \( x \) that is less than \(-6\) or greater than \(7\)."

This translates mathematically into the compound inequality:

\[
x < -6 \quad \text{or} \quad x > 7
\]

The correct inequality expression is \( x < -6 \, \text{or} \, x > 7 \). 

This inequality describes two separate regions on the number line:
- One region where \( x \) is less than \(-6\),
- Another where \( x \) is greater than \(7\).

Would you like further details on how this inequality might look on a graph?

Here are some related questions to explore:
1. How do you graph compound inequalities on a number line?
2. What are the differences between "and" and "or" in compound inequalities?
3. Can compound inequalities have solutions that overlap?
4. How do you express this inequality in interval notation?
5. What real-life scenarios can be modeled using compound inequalities?

**Tip:** When working with compound inequalities, remember that "or" describes two separate regions, while "and" limits the solution to the overlapping region of the two inequalities.

Select the compound inequality and graph that best represents the statement: A quantity x that is less than -6 or greater than 7.

Learn how to solve compound inequalities and graph them on a number line. This example shows a quantity x that is less than -6 or greater than 7. Ideal for middle school students in Grades 7-9 studying algebra.

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