What property of inequality justifies the steps shown in the following solution process?

To determine which property of inequality justifies the steps shown in the solution process, let's analyze the provided steps:

1. The starting expression seems to be \(25x - 10\).
2. The next step changes to \(52(25)x - 1052\). This indicates multiplication by a value (52) on the left side.
3. The final result is \(x - 25\).

The transition from the first expression to the second involves multiplication of the inequality. Thus, the property being used is the **Multiplication Property of Inequality**, which states that when you multiply both sides of an inequality by a positive number, the direction of the inequality remains the same.

Therefore, the answer is:

c. **Multiplication Property of Inequality**