Question

The set of all second elements of the ordered pairs in a relation R is​

Answer 1

Answer:

The set of all first elements of the ordered pairs in a relation R from a set A to a set B is called the domain of the relation R. The set of all second elements in a relation R from a set A to a set B is called the range of the relation R.

Answer 2

SOLUTION

TO FILL IN THE BLANK

The set of all second elements of the ordered pairs in a relation R is _____

EVALUATION

Let A and B are two sets.

Then the Cartesian product of A and B is denoted by A × B and defined as

$\sf{A \times B = \{(x, y) : x \in A \: \: and \: \: y \in B \}}$

Now the a relation is defined as below ,

Let A and B are two non empty sets. Then a Relation R from A to B is a Subset of A × B

Suppose R is a relation from A to B

Then

Domain of R = { x ∈ A : (x, y) ∈ R }

Range of R = { y ∈ B : (x, y) ∈ R }

So the set of all first elements of the ordered pairs in a relation R is domain of R

And the set of all second elements of the ordered pairs in a relation R is range of R

FINAL ANSWER

The set of all second elements of the ordered pairs in a relation R is Range of R

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