Final answer:
To solve the inequality -3/7m < 21, multiply both sides by -7/3 and simplify to get m > -49.
Step-by-step explanation:
To solve the inequality -3/7m < 21, we need to isolate m on one side of the inequality.
First, let's multiply both sides of the inequality by -7/3 to remove the fraction and maintain the inequality: (-7/3)(-3/7)m > (21)(-7/3).
Simplifying, we get m > -49.
Therefore, the solution to the inequality is m > -49.