Morgan is walking her dog on an 8-meter-long leash. She is currently 500 meters from her house, so the maximum and minimum distances that the dog may be from the house can be found using the equation |x – 500| = 8. What are the minimum and maximum distances that Morgan's dog may be from the house?

The minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.

Step-by-step explanation:

Hi, to answer this question we have to solve the given equation: |x – 500| = 8.

The modulus can take a positive value (x - 500) or a negative value (-x+500).

x -500 = 8

x = 8+500

x =508

- (x -500) =8

-x +500 =8  

500 -8 = x

492 =x

So, the minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.

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