Write a compound inequality to talk about the height x, in inches, of people who can ride an amusement park ride whose sign says people must be between 4 feet and 7 feet 2 inches tall to ride.
HINT: Convert all measurements to inches first
(1 point)
Responses
48<x<86
48<x<86
x>48 or x<86
x>48 or x<86
4<x<436
4<x<436
x,48 or x>86
x,48 or x>86
To express the inequality, we first need to convert the height restrictions from feet and inches to inches.
4 feet is equal to 4 * 12 inches, which is 48 inches.
7 feet 2 inches is equal to 7 * 12 inches + 2 inches, which is 84 inches + 2 inches = 86 inches.
Therefore, individuals must be taller than 48 inches but shorter than 86 inches to ride.
So the compound inequality for the height x, in inches, of people who can ride the amusement park ride is:
48 < x < 86