Sets & Relation (PART 1) Flashcards
It is based upon continuous number line or the real numbers. It is characterized by the fact that between any two numbers, there are almost always an infinite set of numbers.
A. Set Theory
B. Continuous Mathematics
C. Discrete Mathematics
D. Set
B. Continuous Mathematics
Forms the basis of several other fields of study like counting theory, relations, graph theory and finite state machines.
A. Set Theory
B. Continuous Mathematics
C. Discrete Mathematics
D. Set
A. Set Theory
It involves distinct values; i.e. between any two points, there are a countable number of points.
A. Set Theory
B. Continuous Mathematics
C. Discrete Mathematics
D. Set
C. Discrete Mathematics
an unordered collection of different elements.
Set
The set is represented by listing all the elements comprising it.
Roster or Tabular Form
The set is defined by specifying a property that elements of the set have in common.
Set Builder Notation
What representation of set is this?
Set of vowels in English alphabet, A={a,e,i,o,u}
A. Roster or Tabular Form
B. Set Builder Notation
A. Roster or Tabular Form
What representation of set are these?
- Set of odd numbers less than 10 :
B={x:1≤x<10 and (x%2)≠0} - A={x:x is a vowel in English alphabet}
A. Roster or Tabular Form
B. Set Builder Notation
B. Set Builder Notation
In sets N represents?
set of all natural numbers
In sets Z represents?
set of all integers
In sets W represents?
set of all whole numbers
In sets R represents?
set of all real numbers
In sets Q represents?
set of all rational numbers
number of elements of the set.
A. Cardinal number
B. Finite set
C. Infinite set
D. Subset
A. Cardinal number
A set which contains infinite number of elements
A. Cardinal number
B. Finite set
C. Infinite set
D. Subset
C. Infinite set
A set which contains a definite number of elements
A. Cardinal number
B. Finite set
C. Infinite set
D. Subset
B. Finite set
What types of set is this if every element of X is an element of set Y.
A. Cardinal number
B. Finite set
C. Infinite set
D. Subset
D. Subset
Can be defined as “subset of but not equal to”
Proper Subset
Identify if it is a PROPER SUBSET or NOT A PROPER SUBSET
Let, X={1,2,3,4,5,6}
and Y={1,2}
PROPER SUBSET
Identify if it is a PROPER SUBSET or NOT A PROPER SUBSET
Let, X={1, 6, 10}
and Y={1, 6, 10}
NOT A PROPER SUBSET
A collection of all elements in a particular context or application. All the sets in that context or application are essentially SUBSET of this __________.
Universal Set
Universal set is represented as ___?
U
A set that contains no element and is denoted ∅
A. Empty Set
B. Singleton Set
C. Equal Set
D. Equivalent Set
A. Empty Set
A set that contains only one element
A. Empty Set
B. Singleton Set
C. Equal Set
D. Equivalent Set
B. Singleton Set
If two sets contain the same elements
A. Empty Set
B. Singleton Set
C. Equal Set
D. Equivalent Set
C. Equal Set
A set with the same cardinality
A. Empty Set
B. Singleton Set
C. Equal Set
D. Equivalent Set
D. Equivalent Set
Two sets that have at least one common element
Overlapping
A set that don’t have even one common element
Disjoint
