Chapter 4, Problem 46SGR

To determine

To calculate : Find the inverse of each relation.

Answer to Problem 46SGR

The inverse is $\left(9,1\right),\left(26,13\right),\left(4,-3\right),\left(-2,-11\right)$ .

Explanation of Solution

Given: points of relation are $\left\{\left(1,9\right),\left(13,26\right),\left(-3,4\right),\left(-11,-2\right)\right\}$

Calculation:

To find the inverse, exchange the coordinates of the ordered pairs.

  $\begin{array}{l}\left(1,9\right)\to \left(9,1\right)\\ \left(13,26\right)\to \left(26,13\right)\\ \left(-3,4\right)\to \left(4,-3\right)\\ \left(-11,-2\right)\to \left(-2,-11\right)\end{array}$

Therefore the inverse is $\left(9,1\right),\left(26,13\right),\left(4,-3\right),\left(-2,-11\right)$ .