Question

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

• A. Domain = {2, 3, 5, 6}, Range = {4, 8, 15, 17}
• B. Domain = {2, 3, 5}, Range = {4, 8, 15}
• C. Domain = {3, 5, 6}, Range = {8, 15, 17}
• D. Domain = {2, 5, 6}, Range = {4, 15, 17}

Answer 1

The correct option is B

Domain = {2, 3, 5}, Range = {4, 8, 15}

A = {2, 3, 5, 6}
B = {4, 8, 15, 17}
a R b, 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}