Language of Relations
What can you say about this?
The illustration shows a relationship between the figure from the left to the figure
at the right. This is an example of a relation. A relation can be shown in three ways as
shown in the above example.
Definition:
A relation is a set of ordered pairs.
If x and y are elements of these sets and if a relation exists between x and y, then we say
that x corresponds to y or that y depends on x and is represented as the ordered pair of
point ( x, y ).
A relation from set A to set B is defined to be any subset of A x B.
If R is a relation from A to B and ( a, b ) ∈∈R, then we say that "a is related to b" and it is
denoted as an R b.
Let us take a look with this example:
A= { a, b, c, d } be the set of car brands
B = { s, t, u, v } be the set of countries of the car manufacturer.
hence, A x B will give all the possible pairings of the elements of A and B.
then, the relation ( R) from A to B will be given by:
What can you say about this?
The illustration shows a relationship between the figure from the left to the figure
at the right. This is an example of a relation. A relation can be shown in three ways as
shown in the above example.
Definition:
A relation is a set of ordered pairs.
If x and y are elements of these sets and if a relation exists between x and y, then we say
that x corresponds to y or that y depends on x and is represented as the ordered pair of
point ( x, y ).
A relation from set A to set B is defined to be any subset of A x B.
If R is a relation from A to B and ( a, b ) ∈∈R, then we say that "a is related to b" and it is
denoted as an R b.
Let us take a look with this example:
A= { a, b, c, d } be the set of car brands
B = { s, t, u, v } be the set of countries of the car manufacturer.
hence, A x B will give all the possible pairings of the elements of A and B.
then, the relation ( R) from A to B will be given by:
