Pregunta
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Write inequalities to represent the situations below. \( \begin{array}{l}\text { The cargo or the truck welghs no more than } 2,400 \text { pounds. } \\ \text { Use w to represent the weight (in pounds) of the corgo. } \\ \square \\ \text { Josh exercises more than } 30 \text { minutes per day. } \\ \text { Use to represent Josh's amount of exercise (in minutes per day). } \\ \square\end{array} \)

Ask by Frazier Flynn. in the United States
Feb 18,2025

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The inequalities are: - \( w \leq 2400 \) - \( e > 30 \)

Solución

Let's represent the situations with inequalities step by step. 1. **For the first situation:** - The cargo or the truck weighs no more than 2,400 pounds. - Let \( w \) represent the weight of the cargo (in pounds). - The inequality can be expressed as: \[ w \leq 2400 \] 2. **For the second situation:** - Josh exercises more than 30 minutes per day. - Let \( e \) represent Josh's amount of exercise (in minutes per day). - The inequality can be expressed as: \[ e > 30 \] Thus, the inequalities representing the situations are: - \( w \leq 2400 \) - \( e > 30 \)

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For the first situation, you can write the inequality as \( w + t \leq 2400 \), where \( t \) represents the weight of the truck. This signifies that the combined weight of the cargo (w) and truck (t) cannot exceed 2,400 pounds. For the second situation, the inequality would be \( e > 30 \), where \( e \) represents the amount of exercise Josh does in minutes per day. This expresses that Josh's exercise routine exceeds 30 minutes each day, highlighting his commitment to staying fit!

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