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Solve for x |x|=3

Problem

|x|=3

Solution

  1. Identify the definition of the absolute value, which represents the distance of a number from zero on the number line.

  2. Apply the property that if |x|=a (where a≥0, then x can be either a or −a

  3. Set up the two possible equations based on this property.

x=3

x=−3

Final Answer

|x|=3⇒x=3,−3


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