Okay kiddo, let's talk about integrally-convex sets. Imagine you have a bunch of points on a graph - some of them are higher up and some of them are lower down. An integrally-convex set is a group of points that are all connected by a continuous line, and that line always goes either up or to the side, but never down.
Now, why is this important? Well, if you have an integrally-convex set, you can use it to solve all sorts of problems in math and science. For example, if you're trying to figure out the best way to distribute resources or allocate funds, you can use a set like this to help you make decisions.
So next time you see a graph or a chart with lots of points on it, think about whether those points might form an integrally-convex set. It might seem like a small thing, but it can actually be super helpful!