SAT question 0ef4a7b6 (Linear Inequalities)

Question

A particular botanist classifies a species of plant as tall if its typical height when fully grown is more than $100$ 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?

4

Difficulty:Medium

A

$106 < h < 158$

B

$80 < h < 100$

C

$42 < h < 87$

D

$17 < h < 85$

College Board · Accepted Answer

The correct answer is A. 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 < h < 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.

CookSAT · Answer

Note: The lower bound of each inequality is checked against 100. Only choice A has a lower bound (106) greater than 100, so it is the only one where every possible height is above 100.

Explanation

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Why the other choices are wrong

SAT Question 0ef4a7b6: Linear Inequalities answer and explanation with Desmos solution

Explanation

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Why the other choices are wrong