Question

the sound volume at a concert is a minimum of 60 decibels but may not exceed 100 decibels. which graph represents the range of the sound level?
(graphs are shown with number lines from 55 to 105, with different open/closed circles at 60 and 100)

Explanation:

Step1: Translate the problem into an inequality

The sound volume \(x\) is a minimum of \(60\) decibels (so \(x\geq60\)) and may not exceed \(100\) decibels (so \(x\leq100\)). The compound - inequality is \(60\leq x\leq100\).

Step2: Analyze the graph - representation rules

On a number line, for \(x = a\) (where \(a\) is included in the solution set), we use a closed - circle. For \(x\geq a\) and \(x\leq b\) (\(a < b\)), we draw a line segment between \(a\) and \(b\) with closed - circles at \(a\) and \(b\).

Answer:

The graph with a closed - circle at \(60\), a closed - circle at \(100\), and a line segment connecting them represents the range of the sound level.