Write the solution set of 𝑥 minus two is less than one, given that 𝑥 is a subset of all natural numbers.
We copy down our equation and solve for 𝑥. To solve for 𝑥, we add two to both sides of our equation. Minus two plus two equals zero, leaving us with 𝑥 on the left is less than one plus two equals three.
We know now that 𝑥 is less than three. But 𝑥 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; it’s less than three, so is one and two. The only three values that 𝑥 can be and meet both of these criteria is zero, one, and two.