Question

jeremy rides a ferris wheel. the graph shows h, jeremy’s height above the ground at any time during the ride.
number line from 5 to 55 with a solid dot at 10 and a solid dot at 50, and the line between them is shaded
which inequality represents the heights shown on the graph?

• $10 < h < 50$
• $10 \leq h \leq 50$
• $h > 10$ or $h < 50$
• $h \geq 10$ or $h \leq 50$

Explanation:

Step1: Analyze the number line

The number line has a filled - in dot at 10 and a filled - in dot at 50, and the line is between them. Filled - in dots on a number line represent that the endpoints are included in the solution set.

Step2: Determine the inequality

If the endpoints are included, the inequality should be of the form \(a\leq x\leq b\), where \(a = 10\) and \(b = 50\) in this case. So the inequality representing the heights \(h\) is \(10\leq h\leq50\).

Answer:

\(10\leq h\leq50\) (corresponding to the option: \(10\leq h\leq50\))