Not sure what the “cute” reference is, but otherwise, those are basic cut offs.
(Below 30k a year are the working poor – 40 hours a week, federal minimum wage= about 20k a year, not subsistence wage nor sufficient to rent a one bedroom apartment anywhere, pay utilities and buy food. Above 100k and you’re in the top 30% households or upper middle class. This of course doesn’t take into account whether your household is in Jackson or in San Jose.)
If OP’s family income is ~65k that’d be middle class but could be understood as lower middle depending on the area.