Mathematics

Problem

Let

A=\{2,4,6\}

and

B=\{1,2,3,4\}

. A relation

R

from

A

B

is given by

R=\{(a,b)\in A\times B\mid a \text{ divides } 2b\}.

Answer the following: a. (i) Write the Cartesian product

A\times B

. b. (ii) Construct the relation

R

by listing all its ordered pairs. c. (iii) Find the domain and the range of

R