Inequality Solutions F6A5Cf

1. **State the problem:** We need to determine which of the values $-1$, $9$, and $1$ satisfy the inequality $$5x - 10 \leq -5.$$ 2. **Rewrite the inequality:** $$5x - 10 \leq -5.$$ 3. **Isolate $x$:** Add $10$ to both sides: $$5x - 10 + 10 \leq -5 + 10$$ $$5x \leq 5.$$ 4. **Divide both sides by $5$:** $$\frac{\cancel{5}x}{\cancel{5}} \leq \frac{5}{5}$$ $$x \leq 1.$$ 5. **Interpretation:** The solution to the inequality is all $x$ such that $$x \leq 1.$$ 6. **Check each value:** - For $x = -1$: $-1 \leq 1$ is true. - For $x = 9$: $9 \leq 1$ is false. - For $x = 1$: $1 \leq 1$ is true. 7. **Conclusion:** The values $-1$ and $1$ satisfy the inequality, but $9$ does not. **Final answer:** I and III are solutions to the inequality.