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07 Nov 2018, 05:09
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
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Question Stats:
80% (01:12) correct
20%
(01:21)
wrong
based on 1390
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If \(x < 0\), which of the following is NOT necessarily true?
(A) \(x^2 + x^3 < 0\)
(B) \(x^5 < x^2\)
(C) \(x^2 > 0\)
(D) \(1/x < 0\)
(E) \(1/x^2 > 0\)
(A) \(x^2 + x^3 < 0\)
(B) \(x^5 < x^2\)
(C) \(x^2 > 0\)
(D) \(1/x < 0\)
(E) \(1/x^2 > 0\)
07 Nov 2018, 05:36
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HKD1710
If \(x < 0\), which of the following is NOT necessarily true?
(A) \(x^2 + x^3 < 0\)
(B) \(x^5 < x^2\)
(C) \(x^2 > 0\)
(D) \(1/x < 0\)
(E) \(1/x^2 > 0\)
(A) \(x^2 + x^3 < 0\)
(B) \(x^5 < x^2\)
(C) \(x^2 > 0\)
(D) \(1/x < 0\)
(E) \(1/x^2 > 0\)
let x = - 1
(A) \(1 + (-1) < 0\) NOT necessarily true
(B) \(-1 < 1\) TRUE
(C) \(1 > 0\) TRUE
(D) \(1/-1 < 0\) TRUE
(E) \(1/1 > 0\) TRUE
IMO: A
General Discussion
07 Nov 2018, 05:32
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HKD1710
If \(x < 0\), which of the following is NOT necessarily true?
(A) \(x^2 + x^3 < 0\)
(B) \(x^5 < x^2\)
(C) \(x^2 > 0\)
(D) \(1/x < 0\)
(E) \(1/x^2 > 0\)
(A) \(x^2 + x^3 < 0\)
(B) \(x^5 < x^2\)
(C) \(x^2 > 0\)
(D) \(1/x < 0\)
(E) \(1/x^2 > 0\)
When \(x=-1\), \(x^2 = 1\) & \(x^3 = -1\) Thus \(x^2 + x^3 =\) \(1+(-1) = 0\) !<0
All other options are always true.... Thus ans A
