Pregunta
upstudy study bank question image url

Q 2 TIME REMAININ \( 39: 36 \) On any given day, the number of users, \( u \), that access a certain website can be represented by the inequality \( 1125-4 \leq 30 \). Which of the following represents the range of users that access the website each day? \( u \geq 95 \) or \( u \leq 155 \) \( 95 \geq u \geq 155 \) \( u \leq 95 \) or \( u \geq 155 \) \( 95 \leq u \leq 155 \)

Ask by Todd Marsh. in the United States
Feb 17,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The number of users accessing the website each day ranges from 95 to 155, inclusive.

Solución

It turns out that the original inequality was meant to be   |u – 125| ≤ 30 This inequality says that the number of users, u, is within 30 of 125. In other words, the difference between u and 125 must be no more than 30 in either direction. Step 1. Write the absolute value inequality as a compound inequality. Recall that   |x| ≤ a  implies  –a ≤ x ≤ a. So here we have   –30 ≤ u – 125 ≤ 30. Step 2. Add 125 to all three parts of the inequality to solve for u:   –30 + 125 ≤ u ≤ 30 + 125   95 ≤ u ≤ 155. This tells us that on any given day, the number of users accessing the website is at least 95 and at most 155. Looking at the answer choices provided, the one that represents this range is:   95 ≤ u ≤ 155.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Extra Insights

Let's solve the inequality step-by-step! Starting with the given inequality: \[ 1125 - 4 \leq 30 \] This simplifies to: \[ 1121 \leq 30 \] Which is not a true statement. It seems there's a misunderstanding with how this was structured. However, if we interpret this properly, we can assume the context is about limits on user numbers rather than directly solving this. Taking a closer look at the user range expression, we ideally want to say the number of users \( u \) must fit a certain realistic daily number. Since \( u \) must be a positive value reflecting access numbers, we have potential logical limits. Now let’s consider your options: 1. \( u \geq 95 \) or \( u \leq 155 \): implies some users are above 95 and below 155, which seems odd. 2. \( 95 \geq u \geq 155 \): contradicts itself as it suggests \( u \) can be both lower than 95 and greater than 155 at the same time! 3. \( u \leq 95 \) or \( u \geq 155 \): suggests dividing users into two non-overlapping groups, lacking a midsection. 4. \( 95 \leq u \leq 155 \): suggests users fit neatly in between two manageable boundaries. All things considered, the clear range that makes the most sense in typical web usage would be: \[ \text{Correct answer: } 95 \leq u \leq 155 \] In a nutshell, that's how you find a reasonable estimate for daily website users!

preguntas relacionadas

Latest Algebra Questions

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad