To solve the inequality \(-2(-5x + 5) \leq 9\), we can follow these steps:
- Distribute the \(-2\) through the parentheses:
\[ -2 \cdot -5x + (-2) \cdot 5 \leq 9 \]
This simplifies to:
\[ 10x - 10 \leq 9 \]
- Add \(10\) to both sides of the inequality:
\[ 10x - 10 + 10 \leq 9 + 10 \] \[ 10x \leq 19 \]
- Divide both sides by \(10\):
\[ x \leq \frac{19}{10} \]
So, the solution to the inequality is:
\[ x \leq 1.9 \]
In interval notation, the solution can be expressed as:
\[ (-\infty, 1.9] \]