Question

Which of the following is the inverse relation of the set?{(3, 1), (4, 2), (5, 3), (6, 4)}Question 4 options:A) {(2, 4), (3, 3), (5, 4), (6, 1)}B) {(2, 1), (4, 3), (5, 3), (6, 4)}C) {(1, 3), (2, 4), (3, 5), (4, 6)}D) {(3, 1), (4, 2), (5, 3), (6, 4)}

Answer 1

Given the set:

{(3, 1), (4, 2), (5, 3), (6, 4)}

Let's determine the inverse relation of the set.

For a point: (a, b), the inverse of the function will have the point (b, a).

Therefore, the inverse of the pairs are:

(3, 1) ==> (1, 3)

(4, 2) ==> (2, 4)

(5, 3) ==> (3, 5)

(6, 4) ==> (4, 6)

Hence, the relation which shows the inverse of the set is:

{(1, 3), (2, 4), (3, 5), (4, 6)}

ANSWER:

C) {(1, 3), (2, 4), (3, 5), (4, 6)}