(B) is correct:
You can rewrite AC as AB + BC, AD as AB + BC + CD, CE as CD + DE, and BD as BC + CD, and then consider the five answer choices.
The first answer choice is equivalent to AB + BC is less than CD. You know that AB is less than CD and that BC is also less than CD, but the sum of AB and BC might not be less than CD. Since the question asks which statement must be true, the first answer choice is not the correct answer.
The second answer choice is equivalent to AB + BC is less than CD + DE. This statement must be true, because AB is less than CD and BC is less than DE. Although there is no need to consider the other answer choices once you see that the second answer choice must be true, each of the remaining choices could be rewritten in the same way and you could see that they need not be true.
Difficulty: Medium
Question Type: Standard Multiple Choice
(Mathematics)
Today's Question:
Part of the following sentence is underlined; beneath the sentence are five ways of phrasing the underlined material. Select the option that produces the best sentence. If you think the original phrasing produces a better sentence than any of the alternatives, select choice A.
Upon its completion in May 1883, the Brooklyn Bridge, a steel suspension bridge linking Brooklyn to Manhattan as the longest bridge in the world.
- to Manhattan as
- to Manhattan, and was
- and Manhattan, was
- with Manhattan, it was
- with Manhattan, as it was
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