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The trichotomy property states that for any two real numbers \(a\) and \(b\), one and only one of the following three conditions holds:

1. \(a < b\),
2. \(a = b\), or
3. \(a > b\).

In the image, you're asked to write a statement comparing the numbers 6, \(\frac{3}{2}\), 0, and \(-\frac{3}{8}\).

To create valid trichotomy statements, we can compare these pairs:

1. \(6 > \frac{3}{2}\) (6 is larger than 1.5)
2. \(\frac{3}{2} > 0\) (1.5 is larger than 0)
3. \(0 > -\frac{3}{8}\) (0 is greater than -0.375)

Would you like further details or clarification on this?

Here are five related questions:
1. How does the trichotomy property differ from other properties like transitivity?
2. Can we apply the trichotomy property to complex numbers?
3. What role does the trichotomy property play in inequalities?
4. How would you compare negative fractions using this property?
5. Could you explain the relationship between trichotomy and the number line?

**Tip**: Always consider the position of numbers on the number line when applying the trichotomy property—it helps visualize which number is greater or smaller!

Write a statement using the trichotomy property: Compare the numbers 6, 3/2, 0, and -3/8 using <, >, or =.

Learn how to compare numbers using the trichotomy property with the numbers 6, 3/2, 0, and -3/8. This problem demonstrates key concepts in number comparison and inequalities, suitable for Grades 6-8.

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