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25 Jul 2024, 01:12
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
100% (00:42) correct
0% (00:00) wrong based on 1 sessions
History
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26 Aug 2024, 12:15
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Official Explanation
In this question, you are asked to compare u with v, given that 2u + v = 14 and uv = 0.
Consider the equation uv=0. Since a product can equal 0 only if at least one of the factors in the product equals 0, you know that u = 0 or v = 0, or both. But since you are also given that 2u + v = 14, it follows that u and v cannot both equal 0.
Knowing that either u = 0 or v = 0, you can substitute 0 into the equation 2u + v = 14 for either u or v in order to determine the relationship between u and v if it is possible to do so from the information given. If u = 0, then 2u + v = 14 simplifies to v = 14. In this case, u is less than v. However, if v = 0, then 2u + v = 14 simplifies to 2u = 14, or u = 7. And in this case, u is greater than v.
In the first case, u<v, and in the second case, u>v. Therefore, the relationship between the two quantities u and v cannot be determined from the information given, and the correct answer is Choice D.
In this question, you are asked to compare u with v, given that 2u + v = 14 and uv = 0.
Consider the equation uv=0. Since a product can equal 0 only if at least one of the factors in the product equals 0, you know that u = 0 or v = 0, or both. But since you are also given that 2u + v = 14, it follows that u and v cannot both equal 0.
Knowing that either u = 0 or v = 0, you can substitute 0 into the equation 2u + v = 14 for either u or v in order to determine the relationship between u and v if it is possible to do so from the information given. If u = 0, then 2u + v = 14 simplifies to v = 14. In this case, u is less than v. However, if v = 0, then 2u + v = 14 simplifies to 2u = 14, or u = 7. And in this case, u is greater than v.
In the first case, u<v, and in the second case, u>v. Therefore, the relationship between the two quantities u and v cannot be determined from the information given, and the correct answer is Choice D.
