What's the Inverse of a Relation?

A relation is a set of ordered pairs
To find the inverse of an ordered pair, switch the x and y coordinates
The inverse of a relation is the set of the inverses of the original ordered pairs
The inverse of (0,2) is (2,0)
The inverse of (3,4) is (4,3)
The inverse of (-3,-2) is (-2,-3)
The inverse of (2,4) is (4,2)

1. A relation is a set of ordered pairs
1. The INVERSE means that we are going to switch the x and y-coordinates of each ordered pair
1. (0,2), (3,4), (-3,-2), and (2,4) are the ordered pairs in our relation
1. We need to switch the x and y coordinates in each ordered pair
1. The x-coordinate is 0
2. The y-coordinate is 2
1. We need to switch the x and y coordinates
2. So 2 becomes the x-coordinate and 0 becomes the y-coordinate
1. (2,0) is the inverse of (0,2)
1. To find the inverse, we just switched the x and y coordinates
1. (4,3) is the inverse of (3,4)
2. (-3,-2) is the inverse of (-2,-3)
3. (2,4) is the inverse of (4,2)
1. The inverse of the relation is the set of the inverses of the original ordered pairs
2. So the inverse is {(2,0), (4,3), (-2,-3), (4,2)}
1. To find the inverse of an ordered pair, just switch the x and y coordinates

Definition: Inverse of a Relation