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|f(x)|=f(x) if f(x)>0 |f(x)|=-f(x) if f(x)<0 --- |x-4|=x-4 if x-4>0 (x>4) |x-4|=-(x-4) if x-4<0 (x<4) --- so if we are looking to the left of 4 then we are looking at values smaller than 4 so |x-4|=-(x-4) in your case
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