Question

Let a={1,2,3,4,...,45} and r be the relation defined as "is square of " on



a. Write r as a subset of a a´ . Also, find the domain and range of r.

Answer 1

Solution:

Let A = {1,2,3,4,...,45}

R is a relation Defined as "is square of ".

a) R = { (1,1),(4,2),(9,3),(16,4),(25,5),(36,6)}

Domain of R = first coordinates of the ordered pairs

= { 1,4,9,16,25,36}

Range of R = Second coordinates of the ordered pairs

= { 1,2,3,4,5,6}

••••

Answer 2

Answer:

let A = {1,2,3,4,......45} and R be the relation defined as " is square of " in A.

Domain = { 1 , 2 , 3 , 4 , 5 , 6 }

Range =  { 1 , 4 , 9 , 16 , 25 , 36}

R = { (1,1) , (2,4) , (3 ,9) , (4,16) , (5,25) , (6,36) }

Step-by-step explanation:

R = square of A ∈ A

R = 1²  , 2²  , 3²  , 4²  , 5²  , 6²    ( 7² = 49 > 45)

R = {1 , 4 , 9 , 16 , 25 , 36}

Domain Of R = { 1 , 2 , 3 , 4 , 5 , 6 }

Range of R = { 1 , 4 , 9 , 16 , 25 , 36}

R ∩ A =  { 1 , 4 , 9 , 16 , 25 , 36}

R = { (1,1) , (2,4) , (3 ,9) , (4,16) , (5,25) , (6,36) }