SOLUTION: If n < 0, which of the following could be true?
I. 2n < n^2
II. 2n < n
III. n^2 < – n
(A) None (B) I only (C) I and II only
(D) I and III only (E) I, I
Algebra ->
Inequalities
-> SOLUTION: If n < 0, which of the following could be true?
I. 2n < n^2
II. 2n < n
III. n^2 < – n
(A) None (B) I only (C) I and II only
(D) I and III only (E) I, I
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Question 315142: If n < 0, which of the following could be true?
I. 2n < n^2
II. 2n < n
III. n^2 < – n
(A) None (B) I only (C) I and II only
(D) I and III only (E) I, II, and III Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! E) is the correct answer.
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I. when , always.
Divide by and change the sign of the inequality
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II. when , always.
Divide by and change the sign of the inequality
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III. when , holds when
Divide by and change the sign of the inequality
