Question 6
Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let *f *= {(1, 4), (2, 5), (3, 6)} be a function from A to B. Show that *f* is one-one.

Answer

It is given that *A* = {1, 2, 3}, *B* = {4, 5, 6, 7}.

*f*: *A* → *B* is defined as *f* = {(1, 4), (2, 5), (3, 6)}.

∴ *f* (1) = 4, *f* (2) = 5, *f* (3) = 6

It is seen that the images of distinct elements of *A* under *f* are distinct.

Hence, function *f* is one-one.