https://file.aiquickdraw.com/mathbot/file/1727656837821g597lkgu.jpg

The image shows the inequality:

\[
|32 + 39| < |-8 \cdot 9|
\]

Let's break it down step by step:

1. **Left-hand side (LHS):**
   \[
   |32 + 39| = |71| = 71
   \]

2. **Right-hand side (RHS):**
   \[
   |-8 \cdot 9| = |-72| = 72
   \]

Thus, the inequality becomes:

\[
71 < 72
\]

This is a true statement because 71 is indeed less than 72. Therefore, the inequality holds.

---

Would you like more details on this? Here are five related questions:

1. How would you solve inequalities involving absolute values with variables?
2. What are the properties of absolute values that can help simplify inequalities?
3. How do you solve compound inequalities involving absolute values?
4. Can inequalities with absolute values be graphed on a number line? If so, how?
5. How does multiplication by a negative number affect inequalities?

**Tip:** When working with absolute value inequalities, remember that absolute values represent the distance from zero, so they are always non-negative.

Learn how to solve the absolute value inequality |32 + 39| < |-8 • 9| by breaking down both sides of the inequality. This step-by-step explanation covers absolute values, inequalities, and algebra, making it ideal for students in Grades 7-9.

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