Sets Flashcards
Collection of well defined objects that are denoted by a capital letter.
Sets
Objects that belong to a set.
Element/Member
Elements separated by comma inside braces.
Roster/Tabular
Uses set builder notation x|x defining the characteristic of all elements.
Rule/Descriptive
What are the three kinds of sets?
Empty/Null/Void
Finite
Infinite
Set with no elements
A = {}, A = ∅
Empty/Null/Void
Set with countable members.
Finite
Set with uncountable members and uses rule/descriptive method only.
C = {x|x is a counting number}
Infinite
What are the four relationship of sets?
Equal
Equivalent
Joint
Disjoint
Sets with the same elements.
A = {d, e, a, r}; B = {r, e, a, d}
Equal
Sets with the same number of elements.
A = {d, e, a, r}; B = {1, 2, 3, 4}
Equivalent
Sets with at least one common member.
A = {d, e, a, r}; B = {e, f, g}
Joint
Sets with no common element.
A = {1, 2, 3, 4, 5}; B = {e, f, g}
Disjoint
Denoted by U, set containing the totality of all given sets.
Universal set
What are the four set operations?
Union
Intersection
Difference (-)
Complement (‘)
Set in both A and B
Distinct combination of sets
Union
Set only common between A and B
Intersection
Set found in A but not in B
Difference
Set found in B but not in A
Complement
Pictorial representation of sets.
Venn-Euler Diagram