Actually, the question mark should be 0 since your house is considered the reference point. The absolute value inequality representing all the distances you may be from your house is:
|x-0| = 10
This simplifies to:
|x| = 10
The question is: You plan on attending a picnic for the up coming holiday. You can either go to your sister's picnic who lives 10 miles west of your house or to your friends picnic who lives 10 miles east of your house. write an absolute value inequality that represents all the distances you may be from your house.
|x-?|= 10
so to me the question mark should be 20.
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