SOLUTION: Miguels insurance company will replace his car if repair costs exceed 80% of the cars value. The car recently sustained $8000 worth of damage, but it was not replaced, what is the

Algebra ->  Inequalities -> SOLUTION: Miguels insurance company will replace his car if repair costs exceed 80% of the cars value. The car recently sustained $8000 worth of damage, but it was not replaced, what is the      Log On


   

Question 146409: Miguels insurance company will replace his car if repair costs exceed 80% of the cars value. The car recently sustained $8000 worth of damage, but it was not replaced, what is the value of the car?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let v=car's value

Since the company did not replace the car, this means that $8,000 is less than 80% of the car's value.

So this means we have the inequality 8000+%3C+0.8%2Av

8000%2F0.8+%3C+%28cross%280.8%29%2Fcross%280.8%29%29v Divide both sides by 0.8


10000+%3C+v Divide


So our answer is v%3E10000 which means that the cars value is greater than $10,000