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When -1/2 < h < 0, which of the following has the grea

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When -1/2 < h < 0, which of the following has the grea

by Max@Math Revolution » Sun May 26, 2019 11:22 pm

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[GMAT math practice question]

When -1/2 < h < 0, which of the following has the greatest value?

A. h^2-2h+1
B. h^2+h
C. h
D. h^2
E. h^3
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by Max@Math Revolution » Tue May 28, 2019 11:34 pm
=>

Test each expression by plugging in h = -1/4.
h^2-2h+1 = (h-1)^2 = (-(5/4))^2 = 25/16
h^2+h = h(h+1) = -(1/4)(3/4) = -(3/16)
h = -1/4
h^2 = (-(1/4))^2 = 1/16
h^3 = (-(1/4))^3 = -(1/64)

Therefore, A is the answer.
Answer: A
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