Answer:
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)}
