Question

Let A={1 2 3 4} and B={5 6 7} then which of the following relations from A to B is not a function?

(a) {(1 5) (2 5) (3 5) (4 5)}
(b) {(1 5) (2 6) (3 7)}
(c) {(1 5) (2 6) (3 7) (4 5)}
(d) {(1 6) (2 7) (3 7) (4 5)}​

Answer 1

Answer:

C is the correct answer

Step-by-step explanation:

c is the correct answer

Answer 2

The correct option is a, i.e., {(1,5), (2,5), (3,5), (4,5)}.

Given:

A={1,2,3,4}

B={5,6,7}

To find:

The option which does not belong to the function A → B.

Solution:

• A set is a collection of well defined objects and elements.
• Function is a collection of relations between two non empty sets such that the elements in the first will not repeat.
• Functions are denoted as (f: X → Y) where X and Y are two non empty sets.

A={1,2,3,4}

B={5,6,7}

We can say from the two sets that one element from set B cannot have more than one image in set A.

So, the option which does not belong to the function A → B is a.

Therefore, the correct option is  a, i.e., {(1,5), (2,5), (3,5), (4,5)}.

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