What does it specifically mean when something is the inverse of a relation?
For example, here is a relation....
{(0,2), (-5, 4)}
And then here is the inverse of that very relation...
{(2, 0), (4, -5)}

To me, all it looks like is that the numbers got reversed. Is that basically what inverse relations are all about, and if so why?

Question

What does it specifically mean when something is the inverse of a relation?
For example, here is a relation....
{(0,2), (-5, 4)}
And then here is the inverse of that very relation...
{(2, 0), (4, -5)}

To me, all it looks like is that the numbers got reversed. Is that basically what inverse relations are all about, and if so why?

animallover8 · Answer

Inverse relations... so inverse means inverted or backwards or upside down.
$$The - inverse - of \frac{ 3 }{ 7 } is \frac{ 7 }{ 3 }$$

animallover8 · Answer

So the inverse of a relation would appear to be upside down/backwards. In a relation each coordinate set changes. X changes to Y and Y changes to X.

atsie · Answer

Makes sense. Thank you so much @AnimalLover8  ^.^