Question

depending on the day of the week, a local gas station charges greater than $25 and up to $55 for a full tank of gas. these charges can be represented by the compound inequality 25 < w ≤ 55. which graph represents the charges? three number lines are shown as options, with different open/closed circles at 25 and 55

Explanation:

Step1: Analyze the inequality symbols

For \(25 < w\), there is an open - circle at \(25\) (because \(25\) is not included). For \(w\leq55\), there is a closed - circle at \(55\) (because \(55\) is included).

Step2: Determine the direction of the line

The values of \(w\) are greater than \(25\) and less than or equal to \(55\), so the line is between \(25\) (open - circle) and \(55\) (closed - circle).

Answer:

The graph with an open - circle at \(25\) and a closed - circle at \(55\) and a line connecting them represents the charges.