Question

Let A={0,1,2,3,4,5). A relation R define from A to A. by R= {(x,x+4):x e A}, then find domain of R

Answer 1

Answer:

A= {0, 1, 2, 3, 4, 5}

R={[x, x+4):x e A}

Step-by-step explanation:

R =3A where R is rational number

3A= {[x, x+4): x e A}

Answer 2

Domain of relation R-(0,1)

Step-by-step explanation:

R={(x,x+4)xeA}

= if x=0 then(0,0+4)

=(0,4)

=if x=1 then(1,1+4)

=(1,5)

if we put x=2,3,4,5 then the it result in (2,6),(3,7),(4,8),(5,9)

but 6,7,8,9 does not belong to A(as it said in question R define from A to A) so these relation does not exist.

So, the domain is only 0 and 1