### Video Transcript

Write the solution set of π₯ minus two is less than one, given that π₯ is a subset of all natural numbers.

We copy down our equation and solve for π₯. To solve for π₯, we add two to both sides of our equation. Minus two plus two equals zero, leaving us with π₯ on the left is less than one plus two equals three.

We know now that π₯ is less than three. But π₯ is also a subset of natural numbers. And natural numbers are positive whole numbers and zero. What we need is a list of all the positive whole numbers and zero that are less than three.

We know that zero falls in that category; itβs less than three, so is one and two. The only three values that π₯ can be and meet both of these criteria is zero, one, and two.