Given A = 1 , 2 , 3 , 4 and B = 5 , 6 , 7 , 8 and the relation R from A to B is ' a + b = 10 , a ∈ A , b = B '. Express R as a set of ordered pairs.

Given: A = 1 , 2 , 3 , 4 and B = 5 , 6 , 7 , 8 The association between two quantities is called a Relation.A relation can be defined as 'set of ordered pairs'. The relation R from A to B is ' a + b = 10 , a ∈ A , b = B ' Put a = 2 and b = 8 ; 2 + 8 = 10 a = 3 and b = 7 ; 3 + 7 = 10 a = 4 and b = 6 ; 4 + 6 = 10 Element 1 of set A and element 5 of set B are not associated. Therefore, required set of ordered pairs is R = ( 2 , 8 ) , ( 3 , 7 ) , ( 4 , 6 )

Given A = 1 , 2 , 3 , 4 and B = 5 , 6 , 7 , 8 and the relation R from A to B is ' a + b = 10 , a ∈ A , b = B '. State the domain and range of R.

Given: A = 1 , 2 , 3 , 4 and B = 5 , 6 , 7 , 8 The relation R from A to B is ' a + b = 10 , a ∈ A , b = B ' Put a = 2 and b = 8 ; 2 + 8 = 10 a = 3 and b = 7 ; 3 + 7 = 10 a = 4 and b = 6 ; 4 + 6 = 10 Element 1 of set A and element 5 of set B are not associated. Therefore, required set of ordered pairs is R = ( 2 , 8 ) , ( 3 , 7 ) , ( 4 , 6 ) The set of all the first components of ordered pairs representing a relation is called its Domain. Domain = 2 , 3 , 4 The set of second components of the ordered pairs is called Range of the relation. Range = 8 , 7 , 6 Hence, the required answer.

E M B I B E

ICSE Skills In Mathematics>Chapter 22 - Relations and Functions>EXERCISE 22(A)>Q 4

HARD

8th ICSE

IMPORTANT

Earn 100

Write the domain and range of the relation represented by the arrow diagram

Important Questions on Relations and Functions

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 22 - Relations and Functions>EXERCISE 22(A)>Q 5

Given

A = \{2, 3, 4, 5\}

and

B = \{4, 5, 6, 7\}

and the relation

R

from

A to B

is 'One less than'. Write

R

as set of ordered pairs.

HARD

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 22 - Relations and Functions>EXERCISE 22(A)>Q 5

Given $A = \{2, 3, 4, 5\}$ and $B = \{4, 5, 6, 7\}$ and the relation $R$ from $A to B$ is 'One less than'. State the domain and range of $R$ .

HARD

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 22 - Relations and Functions>EXERCISE 22(A)>Q 5

Given $A = \{2, 3, 4, 5\}$ and $B = \{4, 5, 6, 7\}$ and the relation $R$ from $A to B$ is 'One less than'. Represent $R$ by means of an arrow diagram.