Algebra of sets

Okay, so imagine you have a bunch of toys. And you also have another bunch of toys. Some of the toys are the same in both bunches, and some are only in one bunch.

Now, we can call the first bunch of toys Set A and the second bunch Set B. And we can use letters like A and B to talk about those sets later.

Algebra of sets is when we do things like adding, subtracting, and multiplying sets just like in math with numbers.

So, for example, if we add Set A and Set B together, we put all the toys from both sets in one big pile. But, we don't count any toys that are the same in both sets twice. Just like when you put two apple slices on your plate and then add another two, you don't say you have four apples, you still have two apples.

If we subtract Set B from Set A, that means we take out all the toys that are in Set B from Set A. Like if you had three toy cars in Set A and two toy cars in Set B, after subtracting Set B from Set A, you would have only one toy car left in Set A.

And just like with adding and subtracting, we can also multiply sets or do things like finding the intersection of Set A and Set B, which is all the toys that are in both sets.

So, algebra of sets is just using math symbols and rules to talk about and manipulate groups of things, like toys or numbers.