Question
K = 2 -{| x + 8| - | x + 1|} . Find the maximum value of k?
Answer: Option B
:
B
Let f(x)= (|x + 8| - | x + 1|)
the expression changes to k= 2-f(x)
To maximize k, we need to minimize f(x)
f(x) will be minimum at x=-8 and or x=-1
at x=-8, f(x)=-7
at x=-1, f(x)= 7
hence the minimum value of f(x)=-7 and so the value of k maximum will be 27
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:
B
Let f(x)= (|x + 8| - | x + 1|)
the expression changes to k= 2-f(x)
To maximize k, we need to minimize f(x)
f(x) will be minimum at x=-8 and or x=-1
at x=-8, f(x)=-7
at x=-1, f(x)= 7
hence the minimum value of f(x)=-7 and so the value of k maximum will be 27
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