
### Instruction: help me answer this question Let A = {1, 2, 3, ... , 14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Write down its domain, codomain and range., think step by step
### Assistant: The range of R is {3, 6, 9, 12} , The answer is The relation R from A to A is given as R = {(x, y): 3x – y = 0, where x, y ∈ A} = {(x, y): 3x = y, where x, y ∈ A} So, R = {(1, 3), (2, 6), (3, 9), (4, 12)} Now, The domain of R is the set of all first elements of the ordered pairs in the relation. Hence, Domain of R = {1, 2, 3, 4} The whole set A is the codomain of the relation R. Hence, Codomain of R = A = {1, 2, 3, ..., 14} The range of R is the set of all second elements of the ordered pairs in the relation.
