Question

1. there were a total of 125 cars at a car dealership. a salesperson sold 68 of the cars in one month. write and solve an inequality that describes how many more cars, at most, the salesman has left to sell. interpret the solution.

inequality:
interpretation:
solution:
set on a number

Explanation:

Step1: Define the variable

Let \( x \) be the number of cars the salesman has left to sell. The total number of cars sold (68) plus the number of cars left to sell (\( x \)) should be less than or equal to the total number of cars (125) because he can't sell more than the total available. So the inequality is \( 68 + x \leq 125 \).

Step2: Solve the inequality

Subtract 68 from both sides of the inequality: \( 68 + x - 68 \leq 125 - 68 \). Simplifying both sides gives \( x \leq 57 \).

Step3: Interpret the solution

The solution \( x \leq 57 \) means that the salesman can sell at most 57 more cars. In other words, the number of additional cars he can sell is 57 or fewer.

Answer:

Inequality: \( 68 + x \leq 125 \)
Solution: \( x \leq 57 \)
Interpretation: The salesman has at most 57 more cars to sell.