Find the inverse of the relation.
-{(6, 5), (11, 6), (9, 7), (7, 8)}
A){(6, 5), (8, 9), (6, 9), (6, 7)}
B){(5, 6), (6, 11), (7, 9), (8, 7)}
C){(6, 5), (5, 9), (6, 11), (6, 7)}

Question

Quizplus · Accepted Answer

The inverse of the relation is found by switching the positions of the coordinates in each ordered pair. The resulting set is {(5, 6), (6, 11), (7, 9), (8, 7)}, which corresponds to choice B. To find the inverse of a relation, we interchange the x and y coordinates of each ordered pair. So, the inverse of the given relation is {(5,6), (6,11), (7,9), (8,7)}. Option B matches this, so it is the correct choice. Option A has repeated x values which cannot be in the inverse relation, and option C has a pair (5,9) which was not in the original relation.

Find the Inverse of the Relation