# What is the example of relation?

## What is the example of relation?

For example, y = x + 3 and y = x2 – 1 are functions because every x-value produces a different y-value. A relation is any set of ordered-pair numbers. In other words, we can define a relation as a bunch of ordered pairs.

## What is a relation and its example?

In Maths, the relation is the relationship between two or more set of values. Suppose, x and y are two sets of ordered pairs. And set x has relation with set y, then the values of set x are called domain whereas the values of set y are called range. Example: For ordered pairs={(1,2),(-3,4),(5,6),(-7,8),(9,2)}

What is relations in discrete mathematics?

A relation is any association or link between elements of one set, called the domain or (less formally) the set of inputs, and another set, called the range or set of outputs.

What is relation explain properties of relations with example?

Relation refers to a relationship between the elements of 2 sets A and B. It is represented by R. We say that R is a relation from A to A, then R ⊆ A×A. A relation from set A to set B is a subset of A×B.

### What is an example of a relation in math?

Or simply, a bunch of points (ordered pairs). In other words, the relation between the two sets is defined as the collection of the ordered pair, in which the ordered pair is formed by the object from each set. Example: {(-2, 1), (4, 3), (7, -3)}, usually written in set notation form with curly brackets.

### What is relation in general mathematics?

A relation is a relationship between sets of values. In math, the relation is between the x-values and y-values of ordered pairs. The set of all x-values is called the domain, and the set of all y-values is called the range.

How do you write relations in discrete mathematics?

A relation can be represented using a directed graph. The number of vertices in the graph is equal to the number of elements in the set from which the relation has been defined. For each ordered pair (x, y) in the relation R, there will be a directed edge from the vertex ‘x’ to vertex ‘y’.

What is asymmetric relation with example?

Or we can say, the relation R on a set A is asymmetric if and only if, (x,y)∈R⟹(y,x)∉R. For example: If R is a relation on set A = {12,6} then {12,6}∈R implies 12>6, but {6,12}∉R, since 6 is not greater than 12. Note: Asymmetric is the opposite of symmetric but not equal to antisymmetric.

## What is relation explain basic properties of binary relation in set with suitable examples?

Definition(symmetric relation): A relation R on a set A is called symmetric if and only if for any a, and b in A, whenever R , R . Example 5: The relation = on the set of integers {1, 2, 3} is {<1, 1> , <2, 2> <3, 3> } and it is symmetric. Similarly = on any set of numbers is symmetric.

## What is relation explain difference between relation and function with the help of example also explain transitive relation with the help of example?

What is the Difference Between Relations and Functions?

Differentiating Parameter Relations
Denotation A relation is denoted by “R”
Example R = {(2, x), (9, y), (2, z)} ** It is not a function, as “2” is input for both x and z.
Note: Every relation is not a function.

What is an example of a relation that is not a function?

The equations y=±√x and x2+y2=9 are examples of non-functions because there is at least one x-value with two or more y-values.