Question

find domain, range of the relation R, where R={x, x^3}=x is an prime number less than 15​

Answer 1

Given A={1,2,3} and B={1,3,5}

R={(x,y):x<y,x∈A,y∈B}

Taking x from set A,

For x=1 from set A,

y=3 or y=5 from set B to satisfy x<y

For x=2, y=3 or y=5

For x=3, y=5

Hence R={(1,3),(1,5),(2,3),(2,5)(3,5)}