Question

Sofia is buying new skis. She finds that the average price of skis is $500 but the actual price could differ from the average as much as $250. Write and solve an absolute value inequality to describe this situation.

Answer 1

The equation that best represent the actual prices of the skis is,
                    I x - 500 I ≥ 250
Solving the absolute value equation,
                       x ≤ 750 and x ≥ 250 
Thus, the prices of the skis ranges from 250 to 750.