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

Dec 6, 2017

$\textcolor{b l u e}{\left\{\begin{matrix}3 & 2 \\ 4 & 3\end{matrix}\right\}}$

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

#### Explanation:

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 $\textcolor{g r e e n}{y = x}$

I hope this helps.