Find the inverse of the given relation. { (9, - 10), (2, - 2), (8, - 7), (13, - 13) }

{ (-10, 9), (2, - 2), (-7, 8), (-13, 13) }

{ (-10, 9), (-2, 2), (-7, - 8), (-13, 13) }

{ (-10, 9), (-2, 2), (-7, 8), (-13, 13) }

{ (-10, 9), (-2, 2), (-7, 8), (-13, - 13) }

The inverse of the relation is { (-10, 9), (-2, 2), (-7, 8), (-13, 13) } ⇒ 3rd

Step-by-step explanation:

- The inverse relation is a relation that we switched their inputs and

outputs

- A relation R1 is the inverse of a relation R if y = R (x) then x = R1 (y).

- In R = f (x), x is the input and y is the output, in x = R1 (y), y is the input

and x is the output

- Ex: The inverse of the relation R (x) = { (-2, 3), (1, 5), (3, 0) } is

R1 (x) = { (3, - 2), (5, 1), (0, 3) }

* Lets solve the problem

- The relation is { (9, - 10), (2, - 2), (8, - 7), (13, - 13) }

∵ x = 9, 2, 8, 13

∵ y = - 10, - 2, - 7, - 13

- To make the inverse relation we will switch x and y

∴ In the inverse relation

x = - 10, - 2, - 7, - 13

y = 9, 2, 8, 13

∴ The inverse of the relation is { (-10, 9), (-2, 2), (-7, 8), (-13, 13) }