Need help with a multi IF formula.

If A1 is ≥ 10000 then B1 equals "Large-cap"
If A1 is < 10000 but ≥ 2000 then B1 equals "Mid-cap"
If A1 is < 2000 but ≥ 300 then B1 equals "Small-cap"
If A1 is < 300 but > 0 then B1 equals "Micro/Nano-cap"
If A1 equals 0 then B1 equals "Private"

I can get the formula to work for "Large-cap" and "Mid-cap" but does not work accordingly when entering < 2000.