Let f(x)=2x−5f(x) =2x-5f(x)=2x−5 and g(x)=7−2xg(x) =7-2xg(x)=7−2x. Then |f(x)+ g(x)| = |f(x)|+ |g(x)| if and only if
\frac{5}{2}<x<\frac{7}{2}
x≤52x\leq\frac{5}{2}x≤25 or x≥72x\geq\frac{7}{2}x≥27
x<\frac{5}{2} or x≥72x\geq\frac{7}{2}x≥27
52≤x≤72\frac{5}{2}\leq x\leq\frac{7}{2}25≤x≤27
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