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To demonstrate the transitive property of the inequality \(-4 < 8 < 12\), let's analyze the statement step-by-step.

### Solution:

The transitive property of inequalities states that if \(a < b\) and \(b < c\), then \(a < c\).

In this problem, we have:
1. \(-4 < 8\)
2. \(8 < 12\)

By applying the transitive property:
\[
-4 < 12
\]

### Answer:
The transitive property applied to the inequality \(-4 < 8 < 12\) is:
\[
-4 < 12
\]

Would you like more detailed explanations or examples? 

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Here are 5 related questions to explore:

1. What would the transitive property look like if we used \(-4 < 7 < 12\)?
2. How does the transitive property work with greater-than inequalities?
3. Can the transitive property apply to three or more connected inequalities?
4. What if we have \(-4 \leq 8 < 12\)? Would the transitive property still apply?
5. How does the transitive property relate to inequalities with variables?

**Tip:** Remember, the transitive property only applies when the same comparison (like "<" or ">") connects each pair of elements.

Write the transitive property of the inequality -4 < 8 < 12.

Understand how to apply the transitive property to the inequality -4 < 8 < 12. This solution explains the steps and concepts behind using the transitive property with inequalities, ideal for students in Grades 6-8.

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