Mathematic System: Operations with Sets

union of sets

A set containing all elements of all sets being considered.

intersection of sets

A set containing elements in common for all sets being considered.

subset

A set that contains only elements found in another set

proper subset

A subset that does not contain every element in another set

finite set

Any set whose elements can be counted

disjoint sets

Sets that have no common elements, whose intersection is { }.

complement of a set

The elements in the universe that are not in the set

Form the intersection for the following sets. E = {1, 2, 3} F = {101, 102, 103, 104} E ∩ F =

{ }

Form the union for the following sets. X = {0, 10, 100, 1000} Y = {100, 1000} X ∪ Y =

{0, 10, 100, 1000}

Form the union for the following sets. E = {1, 2, 3} F = {101, 102, 103, 104} E ∪ F =

{1, 2, 3, 101, 102, 103, 104}

Form the union for the following sets. R = {10, 15, 20} S = {20, 25} R ∪ S =

{10, 15, 20, 25}

Form the intersection for the following sets. X = {0, 10, 100, 1000} Y = {100, 1000} X ∩ Y =

{100, 1000}

Form the union for the following sets. M = { } N = {6, 7, 8, 9, 10} M ∪ N =

{6, 7, 8, 9, 10}

The school has 800 students with 20 students on the gymnastic team and 10 students on the chess team (including 3 students who are on both teams). How many students in the school are not members of either the gymnastic team or the chess team?

{773}

Form the intersection for the following sets. M = { } N = {6, 7, 8, 9, 10} M ∩ N =

{}