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The compound inequality is given as:

\[
x < -74 \quad \text{or} \quad x > -72
\]

This inequality means:
1. \(x\) is less than \(-74\), or
2. \(x\) is greater than \(-72\).

### To graph this:
- **For \(x < -74\)**, place an open circle at \(-74\) to indicate that \(-74\) itself is not included, and shade the region to the left.
- **For \(x > -72\)**, place an open circle at \(-72\) to indicate that \(-72\) itself is not included, and shade the region to the right.

#### Graph Representation:
- Open circle at \(-74\), with a line extending leftward (towards \(-\infty\)).
- Open circle at \(-72\), with a line extending rightward (towards \(+\infty\)).

Would you like further details, or do you have any questions?

Here are some related questions:
1. How do we handle compound inequalities involving "and" vs. "or"?
2. What does it mean when the inequality includes "greater than or equal to" or "less than or equal to"?
3. How would this graph change if it used "and" instead of "or"?
4. Can a compound inequality ever have no solution?
5. What is the significance of open vs. closed circles in graphing inequalities?

**Tip:** In inequalities, the direction of the arrow on the number line indicates whether the variable is greater or less than the number at the endpoint.

Graph the compound inequality: x < -74 or x > -72

This page explains how to graph the compound inequality x < -74 or x > -72 on a number line. Learn how to place open circles and shade the correct regions to represent the solution. Suitable for Grades 7-9.

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