\(A=\left|x+4\right|+1996\)
\(\left|x+4\right|\ge0\forall x\)
\(\Rightarrow\left|x+4\right|+1996\ge1996\)
Dấu "=" xảy ra khi:
\(\left|x+4\right|=0\Rightarrow x=-4\)
\(\Rightarrow MIN_A=1996\) khi \(x=-4\)
\(B=2010-\left(x+1\right)^{2008}\)
\(\left(x+1\right)^{2008}\ge0\forall x\)
\(\Rightarrow2010-\left(x+1\right)^{2008}\le2010\)
Dấu "=" xảy ra khi:
\(\left(x+1\right)^{2008}=0\Rightarrow x+1=0\Rightarrow x=-1\)
\(\Rightarrow MAX_B=2010\) khi \(x=-1\)
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