A bit of explaining is in order about these numbers.
Firstly, no inkjet printer can print at these resolutions, because
simply put, the dots are too large to fit than many in the area being
discussed. So, when a printer speaks about 1440 or 2880 or even 5760
dpi, it is speaking about addressable locations, not actual dots.
Secondly, the only way these printers accomplish this is by overprinting
or several passes. The stepper motors are not that accurate, and the
time it would take would be enough to make people give up.
Thirdly, as Jim states, these are ink dot addresses per inch not pixels.
To create a color, as a mixture of 4, 5, 6, 7, 8, 9, or even 10 colors
of inks often requires a 3 x 3 matrix or larger number of dots which
cumulatively appear like a color.
If speaking about laser or black and white, this is somewhat of a
different store, however. SInce laser printers cannot overprint multiple
passes, and black and white dot resolution does determine gray scale levels.
Art