Rewrite this equation \( \frac{2}{5} m - 7 \leq 17 \)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
23 days ago

To rewrite the equation \( \frac{2}{5} m - 7 \leq 17 \), we can first isolate \( m \). Here's how to do it step by step:

1. Add 7 to both sides:
\[
\frac{2}{5} m \leq 17 + 7
\]
\[
\frac{2}{5} m \leq 24
\]

2. Multiply both sides by \( \frac{5}{2} \) to solve for \( m \) (note that multiplying by a positive number does not change the inequality):
\[
m \leq 24 \cdot \frac{5}{2}
\]
\[
m \leq 60
\]

Thus, the rewritten inequality is:
\[
m \leq 60
\]