Question

6. Let A = {1, 2, 3, 4, 5) and R be a relation on A defined by R= {(a, b): b = a^2} (i) Write R in the roster form. (ii) Find the range of R.​

Answer 1

Answer:

A={1,2,3,4,6}

R={(a,b):a,b∈

A,b is exactly divisible by a}

(i) R=

{(1,1),(1,2),(1,3),(1,4),(1,6),(2,2),(2,4),(2,6),(3,3),(3,6),(4,4),(6,6)}

(ii) Domain of R={1,2,3,4,6}

(iii) Range of R={1,2,3,4,6}