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The question asks to express the set \( G \) (the set of integers less than five) in set-builder notation, using the variable \( x \).

Set-builder notation typically describes a set by stating a property that its members must satisfy. In this case, we want to describe the set of integers less than 5.

The set \( G \) can be written as:

\[
G = \{ x \mid x \in \mathbb{Z}, x < 5 \}
\]

Where:
- \( x \) is a variable representing the elements of the set.
- \( x \in \mathbb{Z} \) means that \( x \) is an integer.
- \( x < 5 \) is the condition that \( x \) must be less than 5.

Would you like further details or have any other questions?

Here are some related questions to consider:
1. How would you represent the set of real numbers less than 5?
2. What is the difference between using set-builder notation and listing elements of the set?
3. How would you express the set of integers greater than or equal to 0 in set-builder notation?
4. How would you write the set of even integers less than 10 in set-builder notation?
5. Can you represent a set of irrational numbers between 0 and 1 in set-builder notation?

**Tip**: Set-builder notation is especially useful when describing infinite sets or sets with a simple condition defining membership.

Use the variable x to write the set in set-builder notation. Let G be the set of integers less than five.

Learn how to express the set of integers less than five using set-builder notation. This guide provides a clear example using the variable x, suitable for middle school students studying basic set theory.

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