ch 2.2: sets

Question 1

is a collection of well-defined objects, ideas or numbers

Answer 1

set

Question 2

The groups are called ________ for as long as the objects in the group share a characteristic and are thus, well defined.

Answer 2

sets

Question 3

When used before/after the first/last element, it denotes infinity.

Answer 3

Ellipses (…)

Question 3

The objects, ideas or numbers in a set are called?

Answer 3

elements (∈) of the set.

Question 3

To describe a set, we use?

Answer 3

{ }

(and use capital letters to represent it, e.g. “A” or “A = {}”)

Question 4

It suggested that there were elements between two elements when it was used between them.

Answer 4

Ellipses (…)

Question 4

the three (3) dots in enumerating the elements of the set.

Answer 4

Ellipses (…)

Question 5

contains elements that can be counted and terminates at a certain object, idea or number.

Answer 5

finite set

Question 6

a set that contain endless number of elements

Answer 6

infinite set

Question 7

a set with no element

Answer 7

Empty Set / Null Set

Question 8

Empty Set / Null Set is denoted by?

Answer 8

∅ or “{ }”

Question 8

a set with only one member.

Answer 8

Singleton

Question 9

two or more sets are _________ if they contain the same elements.

Answer 9

Equal Sets

Question 10

if the number of elements in two or more sets is the same, they are?

Answer 10

Equivalent Sets

Question 11

The number of distinct elements that belongs to a finite set.

Answer 11

Cardinality of Set aka the cardinal number of the set.

Question 12

Cardinality of Set is Denoted by?

Answer 12

n(A) or |A|

Question 13

a set that contains all the elements considered in a particular situation

Answer 13

Universal Set

Question 14

Universal Set is denoted by?

Answer 14

the capital letter “U”

Question 15

is a set whose element belongs to another set or universal set.

Answer 15

Subset

Question 15

Subset is demoted by?

Answer 15

“⊆”

Question 16

a subset that Is not equal to the original set

Answer 16

Proper Subset

Question 17

Proper Subset is demoted by?

Answer 17

“⊂”

Question 18

Ways of Presenting Sets

Answer 18

• Descriptive Form
• Roster Method
• Set-Builder Notation

Question 19

defining the rules of which the generates or defines the members.

Answer 19

Descriptive Form

Question 20

Roster Method is also called?

Answer 20

List Notation

Question 21

A way of presenting sets by listing all its member separated by commas and enclosed in a pair of braces.

Answer 21

Roster Method

Question 22

It has a property that the members of the set share.

Answer 22

Set-Builder Notation

Question 22

an operation for two or more sets in which another set is formed by combining all the elements.

Answer 22

Union of Sets “⋃”

Sometimes depicted by the word “or”.

Question 22

Set-Builder Notation is also?

Answer 22

Predicate Notation/Rule Method

Question 22

Way of Presenting sets by stating the characteristics or properties of its elements.

Answer 22

Set-Builder Notation

Question 23

Operations on Sets

Answer 23

1. Union
2. Intersection
3. Complementation

Question 24

Finding the elements for a set is what we are performing on the operations on sets.

Question 25

an operation on a set that must be performed in reference to universal set.

Answer 25

Compliment of a Set

Question 25

an operation for two or more sets in which another set is formed by listing the common elements.

Answer 25

Intersection of Sets “⋂”

Question 26

Compliment of a Set is dnoted by?

Answer 26

A’

Question 27

All elements that “does not belong to” A but on U.

Answer 27

Compliment of a Set