The Union and Intersection of Sets
Description
A detailed tutorial on the union and intersection of sets. Step by step tutorial including several examples of the union and intersection of sets for reference.
Overview
Set theory is a branch of mathematics that deals with sets of numbers and the way that they interact with each other. One part of set theory is union and intersection. Union is represented by the symbol U, and means to combine the numbers in a set. The union of A and B states that for all x in A and B, the union contains all x in A and all x in B. Intersection is represented by an upside-down letter U, and means to only use numbers that are found in both sets. The intersection of A and B states that for all x in A and B, the intersection contains all x found in both A and B. The definitions might seem similar, but they are different.
Union:
A = {1, 2, 3, 4}, B = {2, 3, 6, 7}. The union would be {1, 2, 3, 4, 6, 7}.
Intersection:
A = {1, 2, 3, 4}, B = {2, 3, 6, 7}. The intersection would be {2, 3}
