Question

in three-five sentences Using the properties of inequality, justify both steps in solving the inequality 2/5m−7≤17(4 points)

Answer 1

To solve the inequality \( \frac{2}{5}m - 7 \leq 17 \), we first isolate the term containing \( m \) by adding 7 to both sides. This step follows the property of inequality that states if you add (or subtract) the same number from both sides, the inequality remains valid. Once we simplify to \( \frac{2}{5}m \leq 24 \), we can eliminate the fraction by multiplying both sides by \( \frac{5}{2} \). This step preserves the inequality because multiplying by a positive number does not change the inequality direction, resulting in \( m \leq 60 \).