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For which of the following values of x is Review, The Princ
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24 Feb 2020, 14:58
24 Feb 2020, 14:58
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Question Stats:
27% (01:21) correct
72% (01:28) wrong based on 36 sessions
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For which of the following values of x is \(\frac{x^2}{4} + \frac{x}{2} -4\) between 0 and 4 ?
Indicate all such values.
A. 1
B. 2
C. 3
D. 4
E. 5
F. 6
Kudos for the right answer and explanation
Indicate all such values.
A. 1
B. 2
C. 3
D. 4
E. 5
F. 6
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: For which of the following values of x is Review, The Princ
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12 Mar 2020, 07:20
12 Mar 2020, 07:20
1
Carcass wrote:
For which of the following values of x is \(\frac{x^2}{4} + \frac{x}{2} -4\) between 0 and 4 ?
Indicate all such values.
A. 1
B. 2
C. 3
D. 4
E. 5
F. 6
Kudos for the right answer and explanation
Indicate all such values.
A. 1
B. 2
C. 3
D. 4
E. 5
F. 6
Kudos for the right answer and explanation
We're looking for values of x such that: \(0 < \frac{x^2}{4} + \frac{x}{2} -4 < 4\)
To eliminate the fractions, we can multiply all sides of the inequality by 4 (the LCM of 2 and 4)
When we do this, we get: \(0 < x^2 + 2x - 16 < 16\)
Add 16 to all sides to get: \(16 < x^2 + 2x < 32\)
Factor the middle to get: \(16 < x(x + 2) < 32\)
At this point, it's probably fastest to just check the answer choices....
Answer choice A doesn't work
Answer choice B doesn't work
Answer choice C doesn't work
Answer choice D WORKS
Answer choice E doesn't work
Answer choice F doesn't work
Answer: D
Cheers,
Brent
gmatclubot
Re: For which of the following values of x is Review, The Princ [#permalink]
12 Mar 2020, 07:20
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