What is the range of the inverse of relation {(1, 7), (2, -4), (5, 6), (2, 8)}?

A. {1, 2, 5}
B. {-4, 6, 7, 8}
C. {1, 5}
D. {-4, 7, 8}

B

range of R-1 is domain of R

(A)

could you explain the steps?

what steps? They gave you a relation. Take the set of the 1st element of each pair.

If you don't know how to find the domain/range of a relation when they give you each element and its image, you are deep in it.

To find the range of the inverse of a relation, we first need to find the inverse of the relation. The inverse of a relation is obtained by swapping the first and second elements of each ordered pair.

For the given relation {(1, 7), (2, -4), (5, 6), (2, 8)}, the inverse relation is {(7, 1), (-4, 2), (6, 5), (8, 2)}.

Now, to find the range of the inverse relation, we look at the second elements of each ordered pair in the inverse relation.

The second elements of the inverse relation are 1, 2, 5, and 2. The range of the inverse relation is the set of all these second elements.

Therefore, the range of the inverse of the relation {(1, 7), (2, -4), (5, 6), (2, 8)} is {1, 2, 5}.

Thus, the correct answer is A. {1, 2, 5}.