Question

If A = {2, 3, 5, 6}, B = {4, 8, 15, 17} and a R b $\Rightarrow$ a divides b. Find domain and range of the relation R.

Answer 1

A = {2, 3, 5, 6}

B = {4, 8, 15, 17}

a R b $\Rightarrow$ a divides b

R = {(2, 4), (2, 8), (3, 15), (5, 15)}

Domain of R = set of first components of all the ordered pairs which belong to R

Domain = {2, 3, 5}

Range of R = set of second components of all the ordered pairs which belong to R

Range = {4, 8, 15}