Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $15,000. The

Question

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Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $15,000. The

price of car A is $131,645.
a. Assuming that you do not know which model is more expensive, write an absolute value inequality that describes this situation. Use x for the price of car B.
b. What are the possibilities for the price of car B?

Mathematics

1 answer:

Nadya [2.5K] · Answer 1 · 2023-11-22T07:11:49+03:00

The possibilities of the price of car B are values greater than $146645 and values less than $116645

<h3>Write an absolute value inequality that describes this situation. Use x for the price of car B.</h3>

The price of car A is given as:

Car A = 131645

The price difference is given as;

Difference = 15000

The absolute value inequality is represented as:

|x - Car A| > Difference

So, we have:

|x - 131645| > 15000

Hence, the absolute value inequality is |x - 131645| > 15000

<h3>b. What are the possibilities for the price of car B?</h3>

In (a), we have:

|x - 131645| > 15000

Remove the absolute bracket

x - 131645 > 15000 and x - 131645 < -15000

Add 131645 to both sides of the inequality

x > 146645 and x < 116645

Hence, the possibilities of the price of car B are values greater than $146645 and values less than $116645

Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than ​$15,000. The

Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $15,000. The