Set Theory

Question 1

Set

Answer 1

A group of objects

Question 2

Element Member

Answer 2

Each individual item in a set.

Question 3

List Roster

Answer 3

{Numbers }

Question 4

Rule

Answer 4

{What the list is about }

Question 5

Set-Builder Notation

Answer 5

{xI property numbers in list possess }

Question 6

Finite Set

Answer 6

A set containing a specific number of elements. { 2,4,9,10-5 }

Question 7

Infinite Set

Answer 7

A set whose examples are endless. { 2,4,6,8,…}

Question 8

Empty/Null Set

Answer 8

A set with no elements, symbolized by { } or Ø {xI Ix=-4 }

Question 9

Subset

Answer 9

Set A is a subset of B, if every element of A is also an element of B, it’s symbolized by A⊂B N= {0,1,2} The subsets of of N are: {0} {1} {2} {1,2} {1,0} {0,2} {0,1,2} and { }

Question 10

Complement of a set

Answer 10

The complement of a subset consists of all the elements from the original set that are not included in the subset. The complement of set A is A′ or Ā

Question 11

Venn Diagrams

Answer 11

A diagram that uses circles to show sets and their relationships.

Question 12

Intersection of Sets

Answer 12

The intersection of sets A and B (A ∩ B) consists of the elements that the two sets have in common.

Question 13

Disjoint sets

Answer 13

Sets whose intersection is the empty set.

Question 14

Union of sets

Answer 14

The union of sets A and B consists of all the elements of both sets (but only lists the common ones once) - denoted as A ∪ B

Question 15

Interval notation

Answer 15

Another way of expressing a set of numbers between two numbers- a (or) is used to indicate that the value is not included as an element of the set- a [or] is used to indicate that the value is an element of the set.