Answer: The correct option is
(A) {(14, 15), (5, 15), (3, 15), (11, 15), (5, 15)}.
Step-by-step explanation: We are given to select the relation that is not a function.
We know that
a relation in the form of ordered pairs, is not a function if any first element is associated to more than one second elements.
Option (A) : The given relation is
{(14, 15), (5, 7), (3, 10), (11, 1), (3, 8)}.
Here, we can see that the element 3 is associated to two second elements, 10 and 8.
So, this relation is not a function.
Option (A) is CORRECT.
Option (B) : The given relation is
{(1, 1), (2, 2), (3, 3), (4, 4), (5, 4)}.
Here, we can see that each first element is associated to only one second element.
So, this relation is a function.
Option (B) is NOT CORRECT.
Option (C) : The given relation is
{(14, 15), (5, 7), (3, 10), (11, 1), (6,10)}.
Here, we can see that each first element is associated to only one second element.
So, this relation is a function.
Option (C) is NOT CORRECT.
Option (D) : The given relation is
{(14, 15), (5, 15), (3, 15), (11, 15), (5, 15)}.
Here, we can see that each first element is associated to only one second element.
So, this relation is a function.
Option (D) is NOT CORRECT.
Thus, (A) is the correct option.
