If you are not in compliance with the income restriction, yes, you can be evicted.
But you are not being evicted. You have been given notice to 'cure', or fix, the violation in 3 days - which you can't really fix - or vacate. So, legally, you must vacate.
If you don't (and in your case, you can't), you start looking for a new place to be in by the beginning of the following month if possible. Then you answer the eviction action in court. If you can show that you gave the correct information and that it was the management that made a mistake and allowed you to move in, you may be able to get extra time from the judge to find new housing. This would give you, probably, several months. If the judge believes you gave false information, they are going to grant the eviction. But this takes time, a minimum of three weeks to get to court, so if you can show the judge that you have a new place at the end of the month, they will probably give you to the end of the month. You still have to pay the rent for that month.