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? 496 meters and 500 meters 500 meters and 508 meters 492 meters and 508 meters 496 meters and 504 meters

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

Step-by-step explanation:

The given absolute equation is |x – 500| = 8.

To solve the absolute equation we split the equation in two parts one with positive and another with a negative sign.

For positive sign we have:

x-500=8

Adding 500 both sides x=508.

For negative sign we have :

-(x-500)=8

Or ,-x+500 =8

Or ,-x=8-500

-x= - 492.

x=492.

Hence the minimum and maximum values of x are 492 meters and 508 meters.

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step-by-step explanation: