Using the properties of inequality, justify both steps in solving the inequality 2/5m−7≤17 in two sentences

To solve the inequality \( \frac{2}{5}m - 7 \leq 17 \), we first add 7 to both sides, resulting in \( \frac{2}{5}m \leq 24 \). This step is justified by the property that adding or subtracting the same value from both sides of an inequality maintains the inequality's direction. Next, we multiply both sides by \( \frac{5}{2} \), yielding \( m \leq 60 \); this is valid because multiplying or dividing both sides of an inequality by a positive number does not change the direction of the inequality.