In the radio frequency spectrum,
Band is also called frequency. Band is a specific range of frequencies in which the frequencies is divided from very low frequency to extremely high frequency and each band has their upper and lower frequency limit.
For example, very low frequency, low frequency (with their frequency range 3KHz-30KHz and 30KHz-300KHz respectively) etc.
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Frequency Range:
A continuous range or spectrum of frequencies that extends from one limiting frequency to another. There are different type of frequencies in RF which are different from another.
The difference between among them are given below on the basis of their frequency ranges, propagation and their applications (where these frequencies are used) respectively.