Hello,

Here's a relation defined on the set .

is in relation with when

1)What's the cardinality of the quotient set for such that for every

In order for to be in relation with it has to always equal after some time..

1)What's the cardinality of the quotient set for such that for every

For to be in relation with after some time it can't go upwards from some chosen .

I have literally no idea how to even begin assigning cardinal number to those quotient sets. Could someone provide me a hint?