write each set using set builder notation 123
How do you write the set {1, 2, 3} using set builder notation?
Answer: To express the set \{1, 2, 3\} using set builder notation, you describe the properties that are true for all elements of the set. Here’s how you can do it:
In set builder notation, you can define this set as:
\{ x \mid x \in \mathbb{N}, x \leq 3 \}
This reads as “the set of all x such that x is a natural number and x is less than or equal to 3.”
Summary: Set builder notation provides a way to describe a set by specifying a property that its members must satisfy. For the set \{1, 2, 3\}, it can be expressed as \{ x \mid x \in \mathbb{N}, x \leq 3 \}.