Let A = [1, 2, 3, , 14] Define a relation on - Maths -

Question

Let A = [1, 2, 3, , 14] Define a relation on a set A by
R = {(x, y) : 3x − y = 0,
where x, y ∈ A}
Depict this relationship using an arrow diagram Write down its
domain, co-domain and range

Global Expert · Accepted Answer

A = [1, 2, 3, , 14]
R = {(x, y) : 3x − y = 0,
where x, y ∈ A}
Or,
R = {(x, y) : 3x = y, where
x, y ∈ A}
As
3×1 = 33×2 = 63×3 = 93×4 = 12

Or,
R = {(1, 3), (2, 6), (3, 9), (4, 12)}

Domain (R) = {1, 2, 3, 4}
Range (R) = {3, 6, 9, 12}
Co-domain (R) = A

Let A = [1, 2, 3, ......., 14]. Define a relation on a set A by R = {(x, y) : 3x − y = 0, where x, y ∈ A}. Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.

Let A = [1, 2, 3, ......., 14]. Define a relation on a set A by
R = {(x, y) : 3x − y = 0, where x, y ∈ A}.
Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.