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If x is a real number satisfying [m]x^3 \geq x[/m], which of the foll
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19 Jan 2021, 09:44
19 Jan 2021, 09:44
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Question Stats:
63% (01:04) correct
36% (01:06) wrong based on 22 sessions
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If x is a real number satisfying \(x^3 \geq x\), which of the following does NOT represent a possible value of x?
A) -1/2
B) 0
C) 1/2
D) 2
E) None of these
Kudos for the right answer and explanation
A) -1/2
B) 0
C) 1/2
D) 2
E) None of these
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If x is a real number satisfying [m]x^3 \geq x[/m], which of the foll
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19 Jan 2021, 10:28
19 Jan 2021, 10:28
Carcass wrote:
If x is a real number satisfying \(x^3 \geq x\), which of the following does NOT represent a possible value of x?
A) -1/2
B) 0
C) 1/2
D) 2
E) None of these
Kudos for the right answer and explanation
A) -1/2
B) 0
C) 1/2
D) 2
E) None of these
Kudos for the right answer and explanation
A quick approach is to TEST each answer choice.
A) -1/2. Is it true that (-1/2)³ > -1/2?
Evaluate to get -1/8 > -1/2
This IS true. So, ELIMINATE A
B) 0
Is it true that 0³ > 0?
Evaluate to get 0 > 0
This IS true. So, ELIMINATE B
C) 1/2
Is it true that (1/2)³ > 1/2?
Evaluate to get 1/8 > 1/2
This is NOT true.
Answer: C
Re: If x is a real number satisfying [m]x^3 \geq x[/m], which of the foll
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14 Jan 2023, 14:20
14 Jan 2023, 14:20
How is 1/8 greater than or equal to 1/2? 1/8 is 0.125 and 1/2 is 0.5...
