Question

The constants a, b, and c are positive. Solve the inequality for x. ax - b < c

Answer 1

To solve the inequality ax - b < c, you add b to both sides and then divide by a, which yields x < (c + b) / a. Substituting with a = 1.00, b = 10.0, and c = -200 gives the solution x < -190.

Step-by-step explanation:

The inequality given is ax - b < c, where a, b, and c are positive constants. To solve for x, you would follow these steps:

1. Add b to both sides of the inequality to get ax < c + b.
2. Divide both sides by a (since a is positive) to isolate x and get x < (c + b) / a.

For the constants provided, let's substitute a = 1.00, b = 10.0, and c = -200. Applying the steps above:

1. x - 10.0 < -200
2. x < -190

Therefore, the solution to the inequality is x < -190.