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If a < b and c < 0, which of the following are true?

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Hussain15
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If a < b and c < 0, which of the following are true? [#permalink] New post   Updated on: 26 Sep 2014, 00:19
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A
B
C
D
E

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63% (01:45) correct 37% (01:40) wrong based on 445 sessions
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If a < b and c < 0, which of the following are true?

I. ac > bc
II. a + c < b + c
III. a - c > b - c

A. I only
B. II only
C. III only
D. I and II only
E. Neither
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Official Answer
D

Originally posted by Hussain15 on 19 Jan 2010, 15:47.
Last edited by Bunuel on 26 Sep 2014, 00:19, edited 1 time in total.
Edited the question and added the OA.
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Re: If a < b and c < 0, which of the following are true? [#permalink] New post   26 Sep 2014, 00:25
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Hussain15 wrote:
If a < b and c < 0, which of the following are true?

I. ac > bc
II. a + c < b + c
III. a - c > b - c

A. I only
B. II only
C. III only
D. I and II only
E. Neither


Multiply a < b by c and don't forget to flip the sign of the inequality since we are multiplying by negative value: ac > bc. So, I must be true.

As for II. Cancel c on both sides: a < b. II is true.

The same for III. Cancel -c on both sides: a > b. So, III is not true.

Answer: D.
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Re: If a < b and c < 0, which of the following are true? [#permalink] New post   19 Jan 2010, 19:05
no idea if can be graphed but I say the answer is B
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Re: If a < b and c < 0, which of the following are true? [#permalink] New post   19 Jan 2010, 23:01
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IMO its D.. OA please

1. AC > BC

=> AC-BC >0
(A-B) C > 0 true

as C< 0
and A-B < 0...thus true.

2. Its also true

Thus I and II only
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Re: If a < b and c < 0, which of the following are true? [#permalink] New post   20 Jan 2010, 09:41
gurpreetsingh wrote:
IMO its D.. OA please

1. AC > BC

=> AC-BC >0
(A-B) C > 0 true

as C< 0
and A-B < 0...thus true.

2. Its also true

Thus I and II only


Nice explanation!! Kudos!!

OA is "D".
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Re: If a < b and c < 0, which of the following are true? [#permalink] New post   19 Dec 2011, 12:22
if a<b and c<0
then: a+c<b+0
can someone explain, how ii is true?
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Re: If a < b and c < 0, which of the following are true? [#permalink] New post   20 Dec 2011, 11:11
since c<0 and a<b so if we multiply a negative quantity to a smaller quantity then it turns out to be bigger in value(in both cases when a,b are negative or positive).so a is correct..simmilarly for b
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Re: If a < b and c < 0, which of the following are true? [#permalink] New post   06 Jan 2012, 21:25
Nice question. Its easy to miss that even statement 1 is be true. Thanks gurpreetsingh.
Answer: D
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Re: If a < b and c < 0, which of the following are true? [#permalink] New post   25 Sep 2014, 22:57
Answer should be A.

Try with values. 2nd statement fails for a=-1, b=1, c=-1
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Re: If a < b and c < 0, which of the following are true? [#permalink] New post   25 Sep 2014, 23:25
prabhakarsharma wrote:
Answer should be A.

Try with values. 2nd statement fails for a=-1, b=1, c=-1


Please try again.

a + c = -1 -1 = -2
b + c = 1 -1 = 0

=> a + c < b + c
(II) is correct.

Hope it helps
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Re: If a < b and c < 0, which of the following are true? [#permalink] New post   26 Sep 2014, 00:03
D is correct. as it works for both +ve and -ve numbers
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Re: If a < b and c < 0, which of the following are true? [#permalink] New post   25 Jun 2023, 22:08
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Re: If a < b and c < 0, which of the following are true? [#permalink]
25 Jun 2023, 22:08
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