Question
Solve the inequality for \( w \). \[ \frac{w}{-4} \geq 2 \] Simplify your answer as much as possible.
Ask by Warren Marsh. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( w \leq -8 \)
Solution
1. Start with the inequality:
\[
\frac{w}{-4} \geq 2
\]
2. Multiply both sides by \(-4\). Remember that multiplying an inequality by a negative number reverses the inequality sign:
\[
w \leq 2 \times (-4)
\]
3. Simplify the right-hand side:
\[
w \leq -8
\]
The simplified solution is:
\[
w \leq -8
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To solve the inequality \( \frac{w}{-4} \geq 2 \), we begin by isolating \( w \). First, multiply both sides of the inequality by \(-4\). Remember, when you multiply or divide an inequality by a negative number, you must reverse the inequality sign: \[ w \leq 2 \cdot (-4) \] Calculating the right side: \[ w \leq -8 \] Therefore, the solution to the inequality is: \[ w \leq -8 \]
