Question

Using the properties of inequality family quality just about both steps and selling the inequality 2/5 m - 7 is less than or equal to 17

Answer 1

To solve the inequality \( \frac{2}{5}m - 7 \leq 17 \), we'll follow these steps:

1. **Isolate the term with \(m\)**:
Start by adding \(7\) to both sides of the inequality to eliminate the constant on the left side.
\[
\frac{2}{5}m - 7 + 7 \leq 17 + 7
\]
\[
\frac{2}{5}m \leq 24
\]

2. **Eliminate the fraction**:
To eliminate the fraction, multiply both sides by \(5\). Since \(5\) is a positive number, the direction of the inequality will not change.
\[
5 \cdot \frac{2}{5}m \leq 24 \cdot 5
\]
\[
2m \leq 120
\]

3. **Solve for \(m\)**:
Finally, divide both sides by \(2\). Again, since \(2\) is positive, the direction of the inequality remains unchanged.
\[
m \leq \frac{120}{2}
\]
\[
m \leq 60
\]

The solution to the inequality \( \frac{2}{5}m - 7 \leq 17 \) is:
\[
m \leq 60
\]

### Summary
- The inequality \( \frac{2}{5}m - 7 \leq 17 \) simplifies to \( m \leq 60 \).