Intersection and union of 2 sets  Set Theory
Intersection and union of 2 sets
Lessons
Notes:
In this section we will learn about intersection and union of 2 sets.
Let A and B be sets. Then, the definitions for intersection and union is the following:
Intersection: A set of elements where the elements show up both in A and B. We call this intersection A$\cap$B. Sometimes people refer to the symbol $\cap$ as the word "and".
Union: A set of all elements that appears in A, in B, or both in A and B. We call this union A$\cup$B. Sometimes people refer to the symbol $\cup$ as the word "or".
Here is a definition that may be useful:
A\B: The set of elements that is in A but not in B. In short, it is just A minus B.
The principle of inclusion and exclusion of 2 sets says the following:

Intro Lesson
Introduction to Intersection and Union of 2 Sets

1.
Finding the Intersection & Union of 2 Sets
You are given the following Venn diagram:

2.
Consider the following:
 Universal Set $U =$ {1, 2, 3, 4, 5, 6, 7, 8}
 Set A = {1,2,3,4,5,6}
 Set B = {2,4,6,8}

3.
Consider the following:
 A = {$m  m = 4x, 0 \leq x \leq 3, x \in I$}
 B = {$n  n = 2x, 0 \leq x \leq 6, x \in I$}

5.
Willy surveyed 30 people at a restaurant to see if they ordered noodles or rice. 10 people ordered both rice and noodles. 5 people only ordered a drink. 3 people ordered only rice.