Problem

Find the inverse of the relation.
\[
\{(0,2),(6,-1),(-2,-3),(5,-5)\}
\]

Answer

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Answer

\(\boxed{\{(2,0),(-1,6),(-3,-2),(-5,5)\}}\) is the final answer.

Steps

Step 1 :Given the relation \(\{(0,2),(6,-1),(-2,-3),(5,-5)\}\)

Step 2 :The inverse of a relation is found by swapping the x and y coordinates of each pair in the relation.

Step 3 :So, we just need to swap the coordinates of each pair in the given relation.

Step 4 :The inverse relation is \(\{(2,0),(-1,6),(-3,-2),(-5,5)\}\)

Step 5 :\(\boxed{\{(2,0),(-1,6),(-3,-2),(-5,5)\}}\) is the final answer.

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