12x+140>123 x>- 17/12 as real world inequality

Answer 1

One possible real-world interpretation of this inequality is the following scenario:

Let's say you have a car rental company, and you're trying to determine the maximum number of miles a customer can drive before they are charged an additional fee.

In this case, let x represent the number of miles driven by the customer. The inequality 12x + 140 > 123 represents the condition where the sum of the fixed fee (140) and the mileage fee (12x) should be greater than the maximum amount allowed (123).

To ensure that the customer doesn't exceed the maximum amount and incur extra charges, you would need to limit the number of miles to be driven. From the inequality x > -17/12, you can conclude that the customer must drive more than -17/12 miles. Since distance cannot be negative in the real world, the practical range of the inequality would be x > 0.