Intersection and Union


A set is a defined collection of members or elements.
C = { A, -3, H, 5, 4, C }
Set C contains 6 members or elements: A, -3, H, 5, 4, and C.

D = {}     E =
If a set has no members, it is an empty set. Sets D and E are both empty sets.

The intersection of two sets A and B, written as AB, is the set of all members common to both A and B.
The dark shaded region represents AB.
The union of two sets A and B, written as AB, is the set of all members in A and all members in B.
The dark shaded regions represents AB.
An easy way to remember:   Union is


Example 1

Write answers in ascending order, separated by commas.  Example:  A = {-3, 1, 2, 5 }.
G = { 0, 3, 5 }     H = { 2, 3, 4, 5 }

IntersectionUnion
G035
H2345
G ∩ H35
   
G035
H2345
G ∪ H02345
G  ∩ H = {} GH = {}


Example 2

Write answers in ascending order, separated by commas.  Example:  A = {-3, 1, 2, 5 }.
G = { -2, -1, 0, 4, 5 }     H is the set of positive even numbers.
Find GH.

H contains any and all positive even numbers.
So an intersection of sets G and H is the set of positive even numbers in set G.

Remember that 0 is neither positive or negative.

G-2-1045
positive
even
G ∩ H4

G  ∩ H = {}

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