Given the relation $(2,3)$ , $(3,4)$ what is the inverse of this relation?

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Answer 1 · 2017-12-06T15:41:15

$color(blue)({(3, 2), (4,3)})$

You can also observe the behavior of the relation and it's inverse in the graph.

A Relation is a set of ordered pairs.

We have the following relation as a set of ordered pairs:

$color(blue)({(2, 3), (3,4)}$

How do we define the Inverse of a Relation?

The Inverse of a Relation is a set of ordered pairs that is the exact inverse of the set of ordered pairs of the original relation.

So, to find the inverse of a relation we must flip over each one of our ordered pair. That is switch $x$ and the corresponding $y$ values.

When we draw the graph of the relation and it's inverse , we can observe that the values are reflected over the line $color(green)(y = x)$

enter image source here

I hope this helps.

Given the relation (2,3)(2,3), (3,4)(3,4) what is the inverse of this relation?