A typical acoustic guitar has a range of three octaves. When the guitar is tuned to “concert pitch,” the range of frequencies for those three octaves is between 82.4 Hz and 659.2 Hz inclusive. Write a compound inequality to show the frequencies that are within the range of a typical acoustic guitar.

82.4 <= f <= 659.2

To write a compound inequality to show the frequencies that are within the range of a typical acoustic guitar, we need to consider the lower and upper limits of the frequency range.

The lower limit is 82.4 Hz, which means any valid frequency should be greater than or equal to 82.4 Hz.

The upper limit is 659.2 Hz, which means any valid frequency should be less than or equal to 659.2 Hz.

Combining both conditions, the compound inequality that represents the frequency range of a typical acoustic guitar can be written as:

82.4 Hz ≤ frequency ≤ 659.2 Hz