For the range where -23<h<0, which expression yields the highest value?

For the range where -23<h<0, which expression… | GMAT Sprint

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PS · Problem Solving

505-555

Inequalities

For the range where $\frac{-2}{3}<h<0$ , which expression yields the highest value?

Answer Choices

Correct answer marked below

h^2-3h+4

Correct

h^2+2h

h

h^2

h^3

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Explanation

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Official Explanation

Official

Given that h is between -0.6667 and 0, we know h is negative. Therefore, options C and E can be disregarded since they produce negative results, and we are looking for the maximum value. Between options B and D, D is less than A…

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Comments

AkashFeb 28, 2024

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DukeFeb 11, 2025

thanks

What this question tests

What it tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Common trap

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.

For the range where −23<h<0\frac{-2}{3}<h<03−2​<h<0, which expression yields the highest value?