Write the relation R, where R = {(x,x³) : x is a prime number less than 10} in roster form.

14

Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by{(a, b) : a, b ∈ A, b is exactly divisible by a}.  Find (i) R in roster form, (ii) domain of R, (iii) range of R.

15

Determine the domain and range of the relation R defined by R = {(x,x +5): x {0,1,2,3,4,5}}.

17

Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A into B.

18

Let R be the relation on Z defined by a R b if and only if a – b is an even
integer. Find (i) R, (ii) domain R, (iii) range of R.