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If x5 + x2 < 0, then which one of the following must be true
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28 Mar 2019, 13:13
28 Mar 2019, 13:13
Expert Reply
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Question Stats:
68% (00:51) correct
31% (00:53) wrong based on 47 sessions
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If \(x^5 + x^2 < 0\), then which one of the following must be true?
(A) \(x < –1\)
(B) \(x < 0\)
(C) \(x > 0\)
(D) \(x > 1\)
(E) \(x^4 < x^2\)
(A) \(x < –1\)
(B) \(x < 0\)
(C) \(x > 0\)
(D) \(x > 1\)
(E) \(x^4 < x^2\)
Re: If x5 + x2 < 0, then which one of the following must be true
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11 Apr 2020, 11:13
11 Apr 2020, 11:13
2
Expert Reply
Let’s simplify the inequality:
x^5 + x^2 < 0
x^2(x^3 + 1) < 0
Divide both sides by x^2 (notice that x can’t be 0, so x^2 is positive):
x^3 + 1 < 0
x^3 < -1
x < ^3√(-1)
x < -1
Answer: A
x^5 + x^2 < 0
x^2(x^3 + 1) < 0
Divide both sides by x^2 (notice that x can’t be 0, so x^2 is positive):
x^3 + 1 < 0
x^3 < -1
x < ^3√(-1)
x < -1
Answer: A
Re: If x5 + x2 < 0, then which one of the following must be true
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30 Sep 2026, 10:48
30 Sep 2026, 10:48
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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