Question

Let A = (1,2,3,4), B = (1,4,9,16,25) and A be a relation defined from A
to B as,
R = {(x, y) : X. € A, y e B and y =x
^2]​

Answer 1

$\textbf{Given:}$

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

$B=\{1,4,9,16,25\}$

$R=\{(x,y):\;x{\in}A,\;y{\in}B\}$

$\textbf{To find:}$

$R$

$\textbf{Solution:}$

$\text{Consider,}$

$(x,y){\in}R\;{\iff}\;y=x^2$

$\text{when}\;x=1,\;y=1^2=1\,\implies\,(1,1){\in}R$

$\text{when}\;x=2,\;y=2^2=4\,\implies\,(2,4){\in}R$

$\text{when}\;x=3,\;y=3^2=9\,\implies\,(3,9){\in}R$

$\text{when}\;x=4,\;y=4^2=16\,\implies\,(4,16){\in}R$

$\therefore\bf\,R=\{(1,1),(2,4),(3,9),(4,16)\}$

$\text{Also,}$

$\textbf{Domain}\bf=\{1,2,3,4\}$

$\textbf{Range}\bf=\{1,4,9,16\}$

Find more:

Let R be a relation of A ={1,2,3,4,5,6,7} given by R ={(a,b)/a-b is divisible by 5}i) write R in roster form

ii) find its domain & range

iii) Is it a function

https://brainly.in/question/20407187

If R = {x, y)/x = 2y} is a relation defined on A = {1, 2, 3, 4, 6, 7, 8} then write all elements of R Also

https://brainly.in/question/19887787