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Set Concepts, Subsets, Set Operations
N/A
16
Mathematics
Undergraduate 1
08/27/2013

Additional Mathematics Flashcards

 


 

Cards

Term
SET
Definition
Collection of objects
Term
Members, or Elements
Definition
objects within a set
Term
Well-defined
Definition
if its contents can be clearly defined
Term
Not Well Defined
Definition
if its contents cannot be clearly determined
Term
Roster Form
Definition

enclosing members in braces {  }

 

Example:

Set A is the set of natural numbers less than 6.

A= { 1,2,3,4,5}

Term
Inclusive
Definition

indicates that the values of given numbers are included.

Example:

The set of natural numbers between 7 and 12, inclusive

{7,8,9,10,11,12}

Term

Equal sets

 

Definition

A=B if and only if set A and set B contain exactly the same elements

 

Example:

SetA { a,b,c,d}

SetB {b,d,c,a}

Term
Equivalent Sets
Definition

two sets are said to be equivalent if they contain the same number of elements

Example:

SetA {a,b,c,d}

SetB {e,f,g,h}

Term

Subset

 

Definition

if only if all the elements of setA are elements of setB

Example:

SetA {pear,apple,orange}

SetB {pear,apple,orange,melon}

Term
Proper subset
Definition

Set B must contain one extra element not in Set A

Example:

SetA {apple,pear,melon}

Set B {apple,pear,melon,kiwi}

 

 

Term
Number of distinct subsets use......
Definition
2 to the n power
Term
Number of distinct proper subsets use.....
Definition
2 to the n power subtract 1
Term

Complement

(Set letter raised to first power)

Definition
is the set of all elements in the universal set that are not in Set A
Term

Intersection

(∩)

Definition
is containing all elements that are common in set A and B.
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