# How to solve this problem involving the “longest interval”?

The problem is shown as follows:

If one wants to make a digital record of sound such that no audible information is lost, what is the longest interval, $$\Delta t$$, between samples that could be used? ( it gives a hint that humans can hear sound waves in the frequency range $$20 Hz$$ to $$20 kHz$$. It should be a very simple question but I don't know what does the "longest interval" mean here)

• – PM 2Ring Jul 31 '19 at 7:43