Math IB Grade 7 extended MYP Venn Diagrams unit

Set

Collection of numbers or objects.

Set symbol

Capital letter, A

Element

each number or object in set, goes inside brackets of set

Element symbol

Written inside curly brackets {a,b,c}

is a member of symbol

∈

is not a member of symbol

∉

number of elements in set A

n(A)

Equal sets

2 sets are equal if they contain the same elements

Subset

All elements of 1 set is included in another set

Subset symbol

⊆

is a member of

Elements are a member of the set specified

is not a member of

Elements are not in the member of the set specified

Empty set

contains no elements

Empty set symbol

{} or ø

Universal set

Set of all elements being considered (everything is inside the set)

Universal set symbol

U

Complement of set A

All elements of U are not part of set A

Complement of set A symbol

A’

Complement added by set

n(A) + n(A’) = n(U)

Empty set subset

Empty set is subset of all other sets

Intersection

both A and B

Disjoint

not in any set listed

Union

A or B, every single element listed in both sets, but not the universal set itself

Intersection symbol

A ∩ B

Union symbol

A ∪ B

Set example

Students in 7th grade

Element example

Specific student name (John Doe)

is a member of example

The United Kingdom is a member of the North Atlantic Treaty Organisation.

is not a member of example

Russia is not a member of the North Atlantic Treaty Organisation.

number of elements in set A example

There are 7 countries in G7.

Equal sets example

NATO and OTAN have the same countries

subset example

Scotland is a part of the United Kingdom

Empty set example

Person made out of purely carbon

Universal Set example

The alphabet when questions with alphabetical letters appear

Complement of set A example

Vowels, except the symbol is represented in consonants

Intersection example

Members in NATO within the UN

Disjoint example

NATO and BRICS

Union example

Girls AND boys in school, considering non-binary genders

Venn Diagram Universal set

Outer rectangle

Venn Diagram set

circle within outer rectangle

Venn diagram complement

the universal set rectangle without the units of the complementary set included

Venn diagram subset

subset inside the set; circle inside the circle

Venn diagram disjoint

separated set circles inside universal rectangle

Complement on bracket

inverses the other complements inside the bracket along with intersections and unions (unions become intersections, vice versa).

Complement on bracket example

(L’ n J)’ = L U J’

Union over complement

If possible on one set in the union, then the location is included no matter if it has an opposing complement.

Union over complement example

(L U J’) includes the intersection part because it’s part of L.