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Algebra / Linear inequalities in one or two variables Difficulty: Medium

A particular botanist classifies a species of plant as tall if its typical height when fully grown is more than $100$ $100$ centimeters. Each of the following inequalities represents the possible heights $h$ , in centimeters, for a specific plant species when fully grown. Which inequality represents the possible heights $h$ , in centimeters, for a tall plant species?

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Explanation

Choice A is correct. It's given that a particular botanist classifies a species of plant as tall if its typical height when fully grown is more than $100$ centimeters. The inequality $106 less than h less than 158$ represents possible heights $h$ , in centimeters, for a plant species when fully grown where $h$ is between $106$ and $158$ centimeters. Since all values of $h$ in this inequality are greater than $100$ centimeters, this inequality represents the possible heights for a tall plant species.

Choice B is incorrect. This inequality represents possible heights $h$ , in centimeters, for a plant species when fully grown where $h$ is between $80$ and $100$ centimeters, not more than $100$ centimeters.

Choice C is incorrect. This inequality represents possible heights $h$ , in centimeters, for a plant species when fully grown where $h$ is between $42$ and $87$ centimeters, not more than $100$ centimeters.

Choice D is incorrect. This inequality represents possible heights $h$ , in centimeters, for a plant species when fully grown where $h$ is between $17$ and $85$ centimeters, not more than $100$ centimeters.