CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Definition of Relations

A= 1,2,3,5 an...

Question

$A =$ { $1, 2, 3, 5$ } and $B =$ { $4, 6, 9$ }. Define a relation $R$ from $A$ to $B$ by $R =$ { $(x, y) : the difference between x and y is odd; x ϵ A, y ϵ B$ }.Write $R$ in roster form.

Open in App

Solution

Given
$A =$ { $1, 2, 3, 5$ } and $B =$ { $4, 6, 9$ }
$R : A \to B$
$R =$ { $(x, y) : | x - y | = odd number; x ϵ A, y ϵ B$ }

Finding Roster form
$| x - y | =$ odd number
$\Rightarrow | 1 - 4 | = 3 (odd), | 1 - 6 | = 5 (odd), | 2 - 9 | = 7 (odd), | 3 - 4 | = 1 (odd), | 3 - 6 | = 3 (odd), | 5 - 4 | = 1 (odd), | 5 - 6 | = 1 (odd),$
Thus, $R =$ { $(1, 4), (1, 6), (2, 9), (3, 4), (3, 6), (5, 4), (5, 6)$ }

Suggest Corrections

thumbs-up

1

Similar questions

A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y) : the difference between x and y is odd, $x ϵ A, y ϵ B$ }.

Write R in Roster form.

A = {1, 2, 3, 5}

B = {4, 6, 9}

. Define a relation

R

A

B

R = {(x, y) :

the difference between

x

y

x \in A, y \in B}

R

Q. A = [1, 2, 3, 5] and B = [4, 6, 9]. Define a relation R from A to B by R = {(x, y) : the difference between x and y is odd, x ∈ A, y ∈ B}. Write R in Roster form.

Q. Let A = [1, 2, 3, 5], B = [4, 6, 9] and R be a relation from A to B defined by R = {(x, y) : x − y is odd}. Write R in roster form.

Let A = {1, 2, 3, 5}, B = {4, 6, 9} and R be a relation from A to B defined by R = {(x, y) : x - y is odd}. Write R in roster form.

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Definition of Relations

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon