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Whole numbers
The set of whole numbers is the set of natural numbers along with zero. so W = the set of whole numbers = 0,1,2,3,............ so Zero is the least number of the set of Whole numbers. As the whole numbers is an infinite set we cant determine the highest number of this set. The set of Whole ..
Relations
If A and B are two non-empty sets, then a relation R in A x B is a subset of A x B. If we use the letter R to denote a relation, then we can write the relation between a and b as aRb a is related to b..
If A and B are two non-empty sets, then a relation R in A x B is a subset of A x B. If we use the letter R to denote a relation, then we can write the relation between a and b as aRb a is related to b..Complement of a set
Let U be a universal set, A be any subset of U, then the elements of U which are not in A i.e., U - A is the complement of A w.r.t. U is written as A' = U - A = A c ..
Let U be a universal set, A be any subset of U, then the elements of U which are not in A i.e., U - A is the complement of A w.r.t. U is written as A' = U - A = A c ..Proof:
The null set f is a subset of every set, in particular f A. By hypothesis, A f . The two conditions imply A = f..
Inequalities Triangles - Test Questions
Question 1 - Question: What is a solution set? Answer: The subset of the replacement set which satisfies the values of the variable is called the solution set. Example: Solution set= {..
Question 1 - Question: What is a solution set? Answer: The subset of the replacement set which satisfies the values of the variable is called the solution set. Example: Solution set= {..Solution:
The statement A B that every element of A is also in the set B, which includes the possibility that A = B. The statement A B (A is a proper subset of B) that A is a subset of B and A B; hence there exists at least one element in B which is not in A. ..
The statement A B that every element of A is also in the set B, which includes the possibility that A = B. The statement A B (A is a proper subset of B) that A is a subset of B and A B; hence there exists at least one element in B which is not in A. ..Co-Domain
If (a, b) is an ordered pair of the function then the set B is called the Co-Domain. The range is a subset of the co-domain. Domain and range have same definitions in relations and function..
If (a, b) is an ordered pair of the function then the set B is called the Co-Domain. The range is a subset of the co-domain. Domain and range have same definitions in relations and function..Events
An event is the outcome or a combination of outcomes of an experiment. In other words, an event is a subset of the sample space. Whenever an outcome satisfies the conditions, given in the event, we say that the event has occurred . The Types of Events are: Simple Even..
Basic Definitions
: Two sets A and B are said to be equal if and only if they contain the same elements i.e. if every element of A is in B and every element of B is in A. We denote the equality by A = B. Cardinality of a Set A: The number of elements in a finite set A, is the cardinality of A and is denoted by n(A)...
Special Parallelograms
Rectangles, rhombuses and squares belong to the set of parallelograms. Each of these may be defined as a parallelogram as follows: A rectangle is an equiangular parallelogram. A rhombus is an equilateral parallelogram. A square is an equilateral and equiangular parallelogram. Thus a square is both ..
Rectangles, rhombuses and squares belong to the set of parallelograms. Each of these may be defined as a parallelogram as follows: A rectangle is an equiangular parallelogram. A rhombus is an equilateral parallelogram. A square is an equilateral and equiangular parallelogram. Thus a square is both ..See what our Users say :
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