Sets

Introduction to Sets

Forget everything you know about numbers.

In fact, forget you even know what a number is.

This is where mathematics starts.

Instead of math with numbers, we will now think about math with "things".

Definition

What is a set? Well, simply put, it's a collection.

First we specify a common property among "things" (this word will be defined later) and then we gather up all the "things" that have this common property.

For example, the items you wear: shoes, socks, hat, shirt, pants, and so on.

I'm sure you could come up with at least a hundred.

This is known as a set.

Or another example is types of fingers.

Video The Number of sets:

Here are some few exercise you may able to try with:

Question 1:
The Venn diagrams in the answer space shows sets P, Q and R such that the universal set, ξ = P υ Q υ R
On the diagrams in the answer space, shade
(a) Q ∩ R,
(b) (P’ ∩ R) υ Q.

Question 2:

The Venn diagrams in the answer space shows sets X, Y and Z such that the universal set, ξ=X∪Y∪Z$\xi =X\cup Y\cup Z$

On the diagrams in the answer space, shade

(a) X'∩Y,(b) (X∪Y')∩Z

Question 3:
The Venn diagrams in the answer space shows sets P, Q and R such that the universal set, ξ = P υ Q υ R
On the diagrams in the answer space, shade
(a) P ∩ R’,
(b) P’υ (Q ∩ R).

Original Resource:

https://www.mathsisfun.com/sets/sets-introduction.html