Question
Solve for \( m \). \begin{tabular}{|l|l|l|l|}\hline \( 13-2 m>1 \) \\ \( \gg \) & \( < \) & \( \geq \) & \( \leq \) \\ \hline\end{tabular}
Ask by Olson Wood. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( m < 6 \).
Solution
1. Start with the inequality:
\[
13 - 2m > 1.
\]
2. Subtract \(13\) from both sides:
\[
13 - 2m - 13 > 1 - 13 \quad \Rightarrow \quad -2m > -12.
\]
3. Divide both sides by \(-2\). Remember to reverse the inequality sign when dividing by a negative number:
\[
m < \frac{-12}{-2} \quad \Rightarrow \quad m < 6.
\]
The solution for \(m\) is:
\[
m < 6.
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
First, let's solve the inequality \( 13 - 2m > 1 \). To do that, we'll isolate \( m \). Start by subtracting 13 from both sides: \[ -2m > 1 - 13 \] \[ -2m > -12 \] Next, divide both sides by -2. Remember that when dividing or multiplying by a negative number, you must flip the inequality sign: \[ m < \frac{-12}{-2} \] \[ m < 6 \] So, the solution for \( m \) is \( m < 6 \).
