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08 Apr 2022, 07:15
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
73% (01:14) correct
27%
(01:18)
wrong
based on 104
sessions
History
Date
Time
Result
Not Attempted Yet
If x > 1, which of the following decreases as x decreases?
I. x + x^2
II. 2x^2 − x
III. 1/(x + 1)
A. I only
B. II only
C. III only
D. I and II only
E. II and III only
I. x + x^2
II. 2x^2 − x
III. 1/(x + 1)
A. I only
B. II only
C. III only
D. I and II only
E. II and III only
08 Apr 2022, 08:27
Kudos
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Bunuel
Breaking Down the Info:
I. This is \(x*(x + 1)\). Both factors decrease as x decreases, and since both factors are positive, the product decreases as x decreases.
II. This is \(x(2x - 1)\). Since we have \(x > 1\), both factors are positive. Using the logic above, the product decreases as x decreases.
III. x + 1 decreases as x decreases, thus \(\frac{1}{x + 1}\) increases as x decreases.
Answer: D
08 Oct 2024, 01:15
Kudos
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