Question

write inequalities to represent the situations below. the distance to the nearest exit door is no more than 100 feet. use d to represent the distance (in feet) to the nearest exit door. to ride a roller coaster, a visitor must be taller than 54 inches. use h to represent the height (in inches) of a visitor able to ride.

Explanation:

Step1: Analyze the first situation

The distance \( d \) to the nearest exit door is no more than 100 feet. "No more than" means \( d \) is less than or equal to 100. So the inequality is \( d \leq 100 \).

Step2: Analyze the second situation

A visitor must be taller than 54 inches to ride the roller coaster. Let \( h \) be the height. "Taller than" means \( h \) is greater than 54. So the inequality is \( h > 54 \).

Answer:

First situation: \( d \leq 100 \)
Second situation: \( h > 54 \)