Pregunta

Write a real-world problem that can be represented by the inequality \( s<20 \). Represent the solution on a number line.

Ask by Sullivan Marshall. in the United States
Feb 27,2025

Solución de inteligencia artificial de Upstudy

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A school bus can safely carry fewer than 20 students. The number of students, s, must satisfy \( s < 20 \). On a number line, this is represented by shading all numbers less than 20 with an open circle at 20.

Solución

Real-World Problem: A school is planning a field trip using a small bus that can safely transport fewer than 20 students at a time. Let s represent the number of students that can ride the bus safely. Since the bus must carry fewer than 20 students, the situation can be modeled by the inequality   s < 20. Solution on a Number Line: 1. Draw a horizontal line. 2. Mark a point at 20 with an open circle (indicating that 20 is not included in the solution). 3. Shade or draw an arrow extending to the left from 20 to indicate all numbers less than 20 satisfy the inequality. Illustration:   <-----•======== (with the open circle at 20, and the shading/arrow to the left) This number line shows that any number less than 20 is a valid number for s in our problem.

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Bonus Knowledge

Imagine you're planning a birthday party and you need to know how many guests you can invite. Your living room comfortably fits fewer than 20 people, so you have the inequality \( s < 20 \), where \( s \) is the number of guests. This means you can invite up to 19 friends to ensure everyone feels cozy without cramping your style! To represent the solution on a number line, you would draw a line with an open circle at the number 20, indicating that 20 is not included, and shade all the space to the left, showing you can invite any number of guests from 0 up to 19. This visualizes all the possible invitee options for your party!

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