Final answer:
The inequality 0.01x+1 < 0.03 is solved by isolating x, resulting in x < -97.
Step-by-step explanation:
To solve the inequality 0.01x + 1 < 0.03, we start by isolating the variable x on one side of the inequality. We proceed as follows:
- Start with the inequality 0.01x + 1 < 0.03.
- Subtract 1 from both sides to get 0.01x < -0.97.
- Divide both sides by 0.01 to isolate x, which gives us x < -97.
To get x by itself, we divide both sides of the inequality by 0.01: x < -0.97 / 0.01. Evaluating the division, we find that x < -97. The solution to the inequality is x < -97.