Questions: Linear Equations and Inequalities Writing an inequality for a real-world situation Write inequalities to represent the situations below. At the airport, each piece of luggage to be checked in must weigh at most 50 pounds. Use w to represent the weight (in pounds) of a piece of luggage that can be checked in. Martina exercises no less than 50 minutes per day. Use t to represent Martina's amount of exercise (in minutes per day).

Solution Steps

1. For the first situation, the weight of each piece of luggage must be at most 50 pounds. This can be represented by the inequality \( w \leq 50 \).
2. For the second situation, Martina exercises no less than 50 minutes per day. This can be represented by the inequality \( t \geq 50 \).

To represent the situation where each piece of luggage to be checked in must weigh at most 50 pounds, we define the variable \( w \) as the weight of a piece of luggage in pounds. The inequality that describes this condition is: \[ w \leq 50 \]

For the situation where Martina exercises no less than 50 minutes per day, we define the variable \( t \) as the amount of exercise in minutes per day. The inequality that represents this condition is: \[ t \geq 50 \]

Final Answer