Find the inverse of the relation.
-$$\{ ( - 5 , - 4 ) , ( 5,4 ) , ( - 3,6 ) , ( 3 , - 6 ) \}$$
A) $\{ ( - 4 , - 5 ) , ( 4,5 ) , ( 6,5 ) , ( - 6,3 ) \}$
B) $\{ ( - 4 , - 5 ) , ( 4,5 ) , ( 6 , - 3 ) , ( - 6,3 ) \}$
C) $\{ ( - 4 , - 5 ) , ( - 5,5 ) , ( 6 , - 3 ) , ( - 6,3 ) \}$

Question

Quizplus · Accepted Answer

To find the inverse, we simply switch the $x$ and $y$ values of each ordered pair. Therefore, the inverse of the relation is $\{(-4,-5),(4,5),(6,-3),(-6,3)\}$. Option B matches this, while the other options have incorrect $y$-values for some of the ordered pairs.

Find the Inverse of the Relation {(−5,−4),(5,4),(−3,6),(3,−6)}\{ ( - 5 , - 4 ) , ( 5,4 ) , ( - 3,6 ) , ( 3 , - 6 ) \}{(−5,−4),(5,4),(−3,6),(3,−6)}

Find the Inverse of the Relation $\{ ( - 5 , - 4 ) , ( 5,4 ) , ( - 3,6 ) , ( 3 , - 6 ) \}$