Question
2. Solve the inequality \( -8-\frac{1}{3} n \leq-25 \)
Ask by Bates Mitchell. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The solution to the inequality is \( n \geq 51 \).
Solution
We start with the inequality:
–8 – (1/3)n ≤ –25
Step 1: Add 8 to both sides to isolate the term with n.
–8 – (1/3)n + 8 ≤ –25 + 8
–(1/3)n ≤ –17
Step 2: Multiply both sides by –3. Remember that multiplying or dividing by a negative number reverses the inequality sign.
n ≥ (–17) × (–3)
n ≥ 51
Thus, the solution to the inequality is n ≥ 51.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
To solve the inequality \( -8-\frac{1}{3} n \leq -25 \), start by isolating the term with \( n \). First, add \( 8 \) to both sides: \[ -\frac{1}{3} n \leq -25 + 8 \] This simplifies to: \[ -\frac{1}{3} n \leq -17 \] Next, multiply both sides by \( -3 \) to solve for \( n \). Remember, when you multiply or divide by a negative number, you reverse the inequality sign: \[ n \geq 51 \] So, the solution to the inequality is \( n \geq 51 \). This means that any value of \( n \) that is \( 51 \) or greater will satisfy the original inequality. Happy solving!
