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

Solution:

A function is a process or a relation that associates each element 'a' of a non-empty set A, to a single element 'b' of another non-empty set B

A relation f from a set A to another set B (the co-domain of the function) is called a function in math

According to the given problem:

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

⇒ f is one-one

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NCERT Solutions for Class 12 Maths - Chapter 1 Exercise 1.2 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

Summary:

Given that f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. It is seen that the images of distinct elements of A under f are distinct hence f is one-one