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Question

How do you solve x-6=10?


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Solution

Step-1: Define modulus function:

The modulus of function is defined as x=xx0-xx<0.

Apply the definition of modulus in the equation x-6=10.

There are two cases, first x-6=10 and second -x-6=10.

Step-2: Solving x-6=10:

x-6=10x-6=10x=10+6Adding6tobothsidesx=16

Step-3: Solving -x-6=10:

-x-6=10-x+6=10-x=10-6Subtracting6frombothsides-x=4x=-4

Therefore, the value of x is -4 and 16.


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