Misc 10
Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11, 15, 16} and f = {(1, 5), (2, 9),
(3, 1), (4, 5), (2, 11)}. Are the following true?
f is a relation from A to B
f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}
First elements = 1, 2, 3, 4
All the first elements are in set A
So, first element is from set A
Second elements = 5, 9, 1, 11
All the second elements are in set B
So, second element is from set B
Since first element is from set A & second element is from set B
Hence, f is a relation from A to B
Misc 10
Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11, 15, 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}. Are the following true?
(ii) f is a function from A to B
f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}
Here, 2 is coming twice
Hence, it does not have a unique image
So, it is not a function
In function, first element is not repeating

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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