Question
Write inequalities to represent the situations below. \( \begin{array}{l}\text { To ride a roller coaster, a visitor must be at least } 58 \text { inches tall. } \\ \text { Use } \mathbf{h} \text { to represent the height (in inches) of a visitor able to ride. } \\ \text { The cruising speed of the bullet train will be no less than } 160 \text { miles per hour. } \\ \text { Use s to represent the train's cruising speed (in miles per hour). } \\ \square\end{array} \)
Ask by Allan Weber. in the United States
Feb 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The inequalities are:
1. \( h \geq 58 \) inches for the roller coaster height requirement.
2. \( s \geq 160 \) mph for the train's cruising speed.
Solution
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To represent the height restriction for the roller coaster, you can write the inequality \( h \geq 58 \). This means that the height \( h \) must be greater than or equal to 58 inches for the visitor to be able to ride. For the bullet train's cruising speed, the inequality can be expressed as \( s \geq 160 \). This indicates that the speed \( s \) must be at least 160 miles per hour for the train to be considered in operation.