How do you write odd numbers in set builder notation?

Odd Numbers in Set Builder Notation: Making Sense of the Math

So, you’re tackling set builder notation and want to nail down how to represent odd numbers? Awesome! Set builder notation can seem a bit abstract at first, but trust me, it’s a super handy tool once you get the hang of it. Think of it as a concise way to describe a group of things (a set) based on specific rules.

The basic idea is this: you’ve got a set that looks something like { x | condition(x) }. Basically, it’s “the set of all ‘x’s such that something is true about them.” That “something” is the condition. Easy peasy, right?

Now, what about odd numbers? Well, we all know what they are: 1, 3, 5, 7, and so on. Numbers that, when you try to divide them by 2, always leave a remainder of 1. But how do we capture that mathematically in set builder notation? Let’s explore a few cool ways.

First, the most straightforward, almost too simple, way: