To write inequalities representing the given situations, we will use variables and inequality symbols to describe the conditions that apply in each case.
Keisha exercises no less than 35 minutes per day:
Here, we're looking to express that the minimum time Keisha spends exercising daily is 35 minutes. When we say "no less than," we mean that the amount of time can either be 35 minutes or it can be more. So the inequality we need is one that indicates "greater than or equal to." We'll use 't' to represent Keisha's exercise time in minutes.
The appropriate inequality for this situation is:
t ≥ 35
This reads as "t is greater than or equal to 35", which means that Keisha exercises for 35 minutes or more each day.
To ride a roller coaster, a visitor must be at least 56 inches tall:
In this situation, visitors need to be a certain height to be allowed to ride the roller coaster. When they say "at least 56 inches tall," the requirement is that a visitor must be 56 inches tall or taller to ride. This also calls for a "greater than or equal to" inequality. We'll use 'h' to represent the height of a visitor in inches.
The inequality to represent this condition is:
h ≥ 56
This reads as "h is greater than or equal to 56", which means that a visitor needs to be at least 56 inches tall to ride the roller coaster.
