Question

Write an inequality to describe the frequency range \(f\) of the instrument. The frequency range of a guitar is from 73 hertz to 698 hertz.

Short answer

The frequency range of the guitar, \(f\), can be represented by the inequality \(73 \leq f \leq 698\).

Step-by-step solution

Understand the range

To begin, it is important to note that the lower limit of the range of the guitar is 73 hertz and the upper limit is 698 hertz.

Formulate the inequality

To form an inequality that represents this range, we can use \(\leq\) and \(\geq\). This indicates that the frequency (\(f\)) can be equal to either limit or be greater than the lower limit (73) or less than the upper limit (698). The inequality would therefore be \(73 \leq f \leq 698\).