Question

let R be the relation on Z defined by R = {( a,b): a belongs Z , b belongs to Z , a ^2 = b^ 2} find R​

Answer 1

Answer:

r --p belong z b belong to z

Answer 2

a, b Z

a-b is an integer

hence , the value of a and b will also be an integer

domain( R) = Z

range(R) = Z

if lets say a-b =2

if a= 1,

b= -1

if a= 4

b= 2

hence domain( R ) = { 1, 4}

range( R ) = { -1, 2}