Question

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 Hertz and 659.2 Hertz inclusive. The compound inequality that represents the range of frequencies for a guitar tuned to "concert pitch" using the variable f is

Answer 1

Given a variable, x, the compound ineaquality representing the range from a to b inclusive of the variable is given by

$a\leqx\leqb$
where a is the least value and b is the greatest value.

Thus, given a variable f, representing the frequencies for the three octaves of a typical acoustic guitar.

Where the range of the frequencies is between 82.4 Hertz and 659.2 Hertz inclusive.

The complex inequality, representing the range of frequencies for a guitar tuned to "concert pitch" is given by

$82.4\leq f\leq659.2$