MATH FIRST MONTHLY EXAM Flashcards
a group or collections or objects; it can be named using a capital letter
Sets
each object in a set
Element
absolutely clear which object belongs to the set, and which does not
Well-defined sets
it is the set that contains all objects under consideration
Universal sets
given any two sets A and B, if every element in A is also an element in B, then a is a subset of B
Subsets
a set with no element is an empty set
Null set
it is denoted by n (A); it is the number of elements in set A
Cardinality set
3 Forms of Cardinality Set
Descriptive Form
Set-builder Form
Roaster Form
if the definition and condition of the set is written
Descriptive Form
all the elements of the set must possess a single property to become a member of that set. (Z= {x|x is an integer)
Set-builder Form
the elements of a set are represented in a row and separated by a comma
Roaster Form
Operations of Set: (3)
Union
Intersection
Difference
It is the set containing all elements that are in A and B.
Union (U)
The set that consider of all elements that are both A and B.
Intersection (∩)
It is a set of elements in A and are not in B.
Difference (-)
set of counting number
Integers
to show integers
Number Line
the distance of an integer to zero
Absolute value
pairs of integers that have same absolute value or distance from zero
Opposite Integers
made up of different terms that contain positive integers power of the variable
Polynomial
it is in the standard form if the given exponent is in decreasing form
Polynomial
it is simplified if it has no terms that are alike.
Polynomial
Part of Polynomial: (4)
Coefficient
Variable
Exponent
Constant
number appearing before the variables
Coefficient
a value that is represented by letters
Variable
a number that is written on the upper-left corner of the variables
Exponent
a term with only a number without a variable
Constant
