Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 3

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$A = {1, 2, 3, 5}$ 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; $x \in A$ , $y \in B$ }. Write $R$ in roster form.

Important Questions on Relations and Functions

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Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 4

The figure shows a relationship between the sets

P

and

Q .

Write this relation
In set-builder form. What is it’s domain and range?
Question Image

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Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 4

The figure shows a relationship between the sets

P

and

Q .

Write this relation in Roster form.
What is it’s domain and range?
Question Image

Question Image

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Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 5

Let

A = \{1, 2, 3, 4, 6\} .

Let

R

be the relation on

A

defined by

{(a, b) : a, b \in A, b

is exactly divisible by

a}

.
Write

R

in roster form

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Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 5

Let

A = \{1, 2, 3, 4, 6\} .

Let

R

be the relation on

A

defined by

{(a, b) : a, b \in A, b

is exactly divisible by

a}

. Find the number of elements in the domain of

R

.

EASY

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Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 5

Let

A = \{1, 2, 3, 4, 6\}

. Let

R

be the relation on

A

defined by

{(a, b) : a, b \in A, b

is exactly divisible by

a}

. Find the number of elements in the set of range of

R

.

EASY

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Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 6

Determine the domain and range of the relation

R

defined by

R = \{(x, x + 5) : x \in \{0,1, 2,3, 4,5\}\} .

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Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 7

Write the relation

R = {(x, x^{3}) : x i s a p r i m e n u m b e r l e s s t h a n 10}

in roster form.

EASY

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Mathematics>Chapter 2 - Relations and Functions>EXERCISE 2.2>Q 8

Let

A = \{x, y, z\}

and

B = \{1,2\} .

Find the number of relations from

A

to

B .