Final answer:
To solve the inequality 2.5x + 1.25 < 3.75, subtract 1.25 from both sides and divide by 2.5. The solution is x < 1. For the inequality 5.12 - 2.4x + 0.3, subtract 0.3 from both sides, then subtract 4.82 from both sides. The solution is x > 0.
Step-by-step explanation:
To solve the inequality 2.5x + 1.25 < 3.75, we need to isolate x. First, subtract 1.25 from both sides of the inequality to get 2.5x < 3.75 - 1.25. Simplifying, we have 2.5x < 2.5. Then, divide both sides of the inequality by 2.5 to get x < 2.5 / 2.5. Therefore, the solution to the inequality is x < 1.
For the inequality 5.12 - 2.4x + 0.3, let's isolate the variable x. First, subtract 0.3 from both sides to get 5.12 - 0.3 - 2.4x. Simplifying gives 4.82 - 2.4x. Next, subtract 4.82 from both sides to get -2.4x < 4.82 - 4.82. Simplifying, we have -2.4x < 0. Therefore, the solution to the inequality is x > 0.