Search
Create
Log in
Sign up
Log in
Sign up
Get ahead with a $300 test prep scholarship
| Enter to win by Tuesday 9/24
Learn more
CH2- Sets
STUDY
Flashcards
Learn
Write
Spell
Test
PLAY
Match
Gravity
Terms in this set (23)
set
collection of objects
elements or members
objects within the set
well defined
contents can be clearly determined
elements are in side a set of ...
braces- in roster form
natural numbers or counting numbers
{1,2,3,4,5..}
set-builder notation
used to symbolize a set
example of set-builder notation
D={ x| condition(s) }
Meaning: set D is the set of all elements x such that the conditions x must meet in order to be a member of the set
finite
if it either contains no elements or the number of element in the set is a natural number.
ie. set B ={ 2,4,6,8,10} - there are 5 elements in this set and 5 is a natural number so the set is finite.
equal sets
set A is EQUAL to set B, symbolized by A = B, if and only if set A and set B contain exactly the SAME elements.
cardinal number
the cardinal number of set A, symbolized by n(A), is the number of elements in set A.
equivalent sets
set A is equivalent to set B if and only if n(A) = n(B) - same NUMBER of elements,
empty set
the set contains no elements - symbolized by { } or 0/
universal set
symbolized by U, is a set that contains all the elements for any specific discussion.
subset
set A is a subset of set B, symbolized by sideways U with underlined.
If and only if all the elements of set A are also elements of set B, then they are subsets of each other.
To show that set A is not a subset of B, we must find at least one element of set A that is NOT an element of set B.
proper subset
set A is a proper subset of set B, symbolized by sideways U without underline.
set A is a proper subset of set B if and only if all the elements of set A are elements of set B and set A, except one or more. Little box inside big box but contain all the same elements.
number of distinct subsets
2^n
n= number elements in a set A
number of distinct proper sets
2^n - 1
disjoint
Two sets A and B are disjoint when they have no elements in common.
complement
the complement of set A, symbolized A`, is the set of all the elements in the universal set that are not in set A.
everything on the outside of set A gets shaded in a venn diagram.
intersection
the intersection of sets A and B, symbolized by an upside-down U, is the set containing all the elements that are common to both set A AND B. Elements that are shared between both sets.
set A = {1,3,9,12}
set B = {1,2, 4, 6, 8, 9}
the intersection of set A and B are {1,9}
middle part in the venn diagram that gets shaded
union
the union of set A and set B, symbolized by A U B, is the set containing all the elements that are members of set A OR set B ( or of both sets)
set A = {1,2,3,4,5}
set B= { 2, 4, 6, 8}
the union of set A and B are {1,2,3,4,5,6,8}
difference of sets
the difference of sets A and set B, symbolized A - B, is the set of elements that belong to set A but NOT to set B.
cross products
the cross product of set A and set B, symbolized by A X B and read "A cross B", is the set of all possible ordered pairs of the form (a,b), where a E A and b E B
;