1. **State the problem:** Solve the inequality $-4x + 5 > -5$ and determine if the solution is $x < 2.5$ or $x > 2.5$. 2. **Use the formula and rules:** To solve inequalities, isolate $x$ on one side by performing inverse operations. Remember, when multiplying or dividing by a negative number, reverse the inequality sign. 3. **Solve step-by-step:** Start with: $$-4x + 5 > -5$$ Subtract 5 from both sides: $$-4x + 5 - 5 > -5 - 5$$ $$-4x > -10$$ Divide both sides by $-4$ (note the negative divisor, so reverse inequality): $$\cancel{-4}x \div \cancel{-4} < \frac{-10}{-4}$$ $$x < \frac{10}{4}$$ Simplify fraction: $$x < 2.5$$ 4. **Conclusion:** The solution is $x < 2.5$. --- Since the user asked two inequalities, the total distinct problems are 2, but only the first is solved here as per instructions.