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.