Pregunta
Solve the inequality \( \frac{f}{3} \leq \frac{1}{9} \), and write the solution in interval notation
Ask by Reeves Vaughan. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The solution is \( f \leq \frac{1}{3} \), which in interval notation is \( (-\infty, \frac{1}{3}] \).
Solución
Solve the equation \( \frac{f}{3} \leq \frac{1}{9} \).
Solve the inequality by following steps:
- step0: Solve for \(f\):
\(\frac{f}{3}\leq \frac{1}{9}\)
- step1: Multiply both sides:
\(\frac{f}{3}\times 9\leq \frac{1}{9}\times 9\)
- step2: Multiply the terms:
\(3f\leq 1\)
- step3: Divide both sides:
\(\frac{3f}{3}\leq \frac{1}{3}\)
- step4: Divide the numbers:
\(f\leq \frac{1}{3}\)
The solution to the inequality \( \frac{f}{3} \leq \frac{1}{9} \) is \( f \leq \frac{1}{3} \).
In interval notation, the solution is \( (-\infty, \frac{1}{3}] \).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Beyond the Answer
To solve the inequality \( \frac{f}{3} \leq \frac{1}{9} \), start by multiplying both sides of the inequality by 3 to eliminate the fraction. This gives us: \[ f \leq \frac{1}{9} \times 3 \] Calculating the right side, we have: \[ f \leq \frac{3}{9} \] Simplifying \( \frac{3}{9} \) yields: \[ f \leq \frac{1}{3} \] In interval notation, the solution is: \[ (-\infty, \frac{1}{3}] \]

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium