Question
Solve for \( f \). \[ 4 f \geq 5 f-4 \] Write your answer with \( f \) first, followed by
Ask by Schmidt Long. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( f \leq 4 \)
Solution
To solve the inequality:
\[
4f \geq 5f - 4
\]
**Step 1:** Subtract \(5f\) from both sides to get all terms containing \(f\) on one side:
\[
4f - 5f \geq -4
\]
\[
- f \geq -4
\]
**Step 2:** Multiply both sides by \(-1\). **Remember** that multiplying or dividing both sides of an inequality by a negative number reverses the inequality sign:
\[
f \leq 4
\]
**Final Answer:**
\[
f \leq 4
\]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Extra Insights
To solve the inequality \( 4 f \geq 5 f - 4 \), we start by isolating \( f \). First, subtract \( 5 f \) from both sides: \[ 4 f - 5 f \geq -4 \] This simplifies to: \[ -f \geq -4 \] Next, multiply both sides by -1. Remember, when you multiply or divide an inequality by a negative number, you must reverse the inequality sign: \[ f \leq 4 \] Thus, the solution is: \[ f \leq 4 \]
