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SETS - Coggle Diagram
SETS
Types of Sets
Equal Sets
A = {1,2,3,4} and B = {4,3,2,1}
Finite Sets
A = {1,2,3,4,5,6,7,8,9,10}
Infinite Sets
A = {1,2,3,4,5,6,7,8,9……}
Empty Sets
{ } or Ø.
Universal Sets
If A = {1,2,3} and B {2,3,4,5}, then universal set here will be:
U = {1,2,3,4,5}
Subsets
A = {1,2,3}
Then {1,2} ⊆ A.
Equivalent Sets
If A = {1,2,3,4} and B = {Red, Blue, Green, Black}
Disjoint Sets
Set A = {1,2,3,4} and set B = {5,6,7,8}
Elements of Sets
Q: Set of all rational numbers
R: Set of all real numbers
Z: Set of all integers
Z+: Set of all positive integers
N: Set of all natural numbers
Set Operations
Intersection
Set A = {1,2,3} and B = {4,5,6}, then A intersection B is:
A ∩ B = { } or Ø
Venn Diagrams
Union
Set A = {1,2,3} and B = {4,5,6}, then A union B is:
A ∪ B = {1,2,3,4,5,6}
Representation of Sets
Roster Form
Natural Number = 1, 2, 3, 4, 5, 6, 7, 8,………
Set Builder Form
A = { x : property }
Statement Form
{even numbers less than 15}.