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# Is a > b ? (1) a < b^4 (2) a and b are both negative integers

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Math Expert
Joined: 02 Sep 2009
Posts: 61403
Is a > b ? (1) a < b^4 (2) a and b are both negative integers  [#permalink]

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21 Jan 2020, 03:37
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100% (01:15) correct 0% (00:00) wrong based on 6 sessions

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Is a > b ?

(1) a < b^4
(2) a and b are both negative integers

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Re: Is a > b ? (1) a < b^4 (2) a and b are both negative integers  [#permalink]

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21 Jan 2020, 03:45
Bunuel wrote:
Is a > b ?

(1) a < b^4
(2) a and b are both negative integers

Question: Is a > b ?

Statement 1: $$a < b^4$$

Case 1: a = 1 and b = 2 and $$1 < 2^4$$ while a < b

Case 2: a = 3 and b = 2 and $$3 < 2^4$$ while a > b

NOT SUFFICIENT

Statement 2: a and b are both negative integers

there is still no ground to compare their absolute values hence

NOT SUFFICIENT

Combining the two statements

Case 1: a = -1 and b = -2 and $$-1 < (-2)^4$$ while a > b

Case 2: a = -3 and b = -2 and $$-3 < (-2)^4$$ while a < b

NOT SUFFICIENT

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Re: Is a > b ? (1) a < b^4 (2) a and b are both negative integers   [#permalink] 21 Jan 2020, 03:45
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# Is a > b ? (1) a < b^4 (2) a and b are both negative integers

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