Language of Sets

Question 1

he played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics

Answer 1

George Cantor

Question 2

are collections of well-defined distinct objects, ideas, or numbers.

Answer 2

Sets

Question 3

sets consists of objects, called the ______ or the member of a set that share a common characteristic.

Answer 3

Element (∈)

Question 4

a set is named by using a ?

Answer 4

capital letter

Question 5

∈

Answer 5

belongs to

Question 6

∉

Answer 6

does not belong to

Question 7

: or |

Answer 7

such that

Question 8

ɸ

Answer 8

null set, empty set

Question 9

n(A)

Answer 9

cardinal number of the set A

Question 10

∪

Answer 10

union of two sets

Question 11

∩

Answer 11

intersection of two sets

Question 12

a set that has a definite number of elements

elements are countable

Answer 12

Finite Set

Question 13

is a set that contain endless number of elements

(…) ellipsis indicated after the last identifies element means that there a re other elements of the set

Answer 13

Infinite Set

Question 14

a set with no elements
denoted by ɸ or {}

Answer 14

null set

Question 15

The __________ of a set A is the number of elements contained in A. Denoted by |A| or n(A)

Example: A = {1, 2, 3, 4, } |A| = 4
B = {a, e, i, o, u} n(B) = 5

Answer 15

Cardinality

Question 16

Is the set that contains all objects under consideration.

A set of all possible elements under consideration in a particular problem

Answer 16

Universal Set (U)

Question 17

If all the elements of a Set F are also the elements of a Set A, then “F is a _____ of A
(F 드 A)

Answer 17

Subset (드)

Question 18

A ____________ of a set A is a subset of A that is not equal to A. In other words, if B is a proper subset of A, then all elements of B are in A but A contains at least one element that is not in B.

Answer 18

proper subset

Question 19

Two sets A and B are equal set if A C B and BCA. The elements of A are also the element of B

Answer 19

Equal Set

Question 20

Two sets A and B are _________ set if the number of elements in set A is equal to the number of elements in set B. The cardinality of A and B are equal.

Answer 20

equivalent set

Question 21

A mathematical diagram representing sets as circles, with their relationship to each other expressed through their overlapping positions, so that all possible relationship between the sets are shown.

Answer 21

Venn Diagram

Question 22

The union of Set A and B is the set whose elements are those which belongs to Set A, or to Set B, or to both sets. In symbol, the union of set A and B is

Answer 22

A U B

Question 23

The intersection of Set A and B is the set whose elements are common to Set A and to Set B. In symbol, the intersection of set A and B is

Answer 23

A ∩ B

Question 24

The compliment of Set A is the set whose elements are elements of the universal set that does not belong to A. In symbol, the complement of A is

Answer 24

A’

Question 25

All elements which are in A but not in B

Answer 25

A-B

Question 26

is the most indispensable tool in solving word problems involving set, since it will help in visualizing the problems.

Answer 26

Venn Diagram