Question

How do you write an inequality statement to show that you must be at least 48 inches tall to ride the roller coaster?

Answer 1

Hint: The above question is based on the concept of inequality.
Inequality compares two variables, to show if one is less than, equal to or greater than the other variable being compared.
Using the signs of inequality we will form the equation as given in the question.

Complete step-by-step solution:
Let’s discuss some points about inequality and then we will do the calculation part of the problem.
An inequality is a relation which makes a non- equal comparison between two numbers or other mathematical expressions. It is most often to compare two numbers on the number line by their size. There are several different notations used to represent different kinds of inequalities.
Now, we will form the inequality equation as the given questions, the statement will be formed as;
In order to ride on a roller coaster an individual must be at least 48 inches tall.
This means that the height of the individual is h = 48 inches. In the question we are being given that the height must be at least 48 inches tall which means it could be equal to or more than 48.
Therefore, our inequality becomes
$h \geqslant 48$
Height of the individual is greater than or equal to 48 inches.

$h \geqslant 48$ is the required answer.

Note: Inequalities have many applications such as used in the system of linear Inequalities, used in various engineering subjects as well as in control system inequalities are used to determine the stability o f the system available to us, to determine the maximum and minimum value of the system.