Which relation shown is not a function? a. {(14, 15), (5, 7), (3, 10), (11, 1), (3, 8)} b. {(1, 1), (2, 2), (3, 3), (4, 4), (5, 4)} c. {(14, 15), (5, 7), (3, 10), (11, 1), (6,10)} d. {(14, 15), (5, 15), (3, 15), (11, 15), (5, 15)}i found it out the answer is:   a.

 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.

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