Question

1. (5 points) find the inverse of the given relation.

\\ r = \\{(-3, 5), (-4, 2), (-7, 6), (8, -2)\\} \\

\\ r^{-1} = \\

Explanation:

Step1: Understand the relation inverse

Swap the coordinates of each ordered pair.

$$(x, y) ightarrow (y, x)$$

Step2: Apply to each pair

Swap elements in all given ordered pairs.

$$R^{-1} = \{(5, -3), (2, -4), (6, -7), (-2, 8)\}$$

Answer:

\(R^{-1} = \{(5, -3), (2, -4), (6, -7), (-2, 8)\}\)