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# ab < 0 bc > 0

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ab < 0 bc > 0 [#permalink]  24 May 2017, 01:29
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Expert's post
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Question Stats:

67% (00:42) correct 32% (00:41) wrong based on 65 sessions

$$ab < 0$$

$$bc > 0$$

 Quantity A Quantity B $$ac$$ $$0$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: ab < 0 bc > 0 [#permalink]  24 May 2017, 05:24
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Expert's post
Carcass wrote:

ab < 0

bc > 0

 Quantity A Quantity B ac 0

GIVEN: ab is NEGATIVE and bc is POSITIVE

So, (ab)(bc) = (NEGATIVE)(POSITIVE) = NEGATIVE
Simplify left side to get: ab²c = NEGATIVE
Rewrite as: (ac)() = NEGATIVE
Since must be positive, we can write: (ac)(POSITIVE) = NEGATIVE
This tells us that ac must be NEGATIVE

So, we get:
Quantity A: NEGATIVE
Quantity B: 0

0 is greater than a NEGATIVE number

Cheers,
Brent
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Re: ab < 0 bc > 0 [#permalink]  28 Mar 2018, 15:34
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ab< 0 a is negative and b is positive or a is positive and b is negative
bc > 0 both b and c are positive. or both b and c are negative.

If both b and c are positive, then because ab is negative, a is negative. So ac is negative.
If both b and c are negative, then because ab is negative, a is positive, and ac is negative.
In both situations, ac is negative and less than 0.
B is bigger than A.

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Re: ab < 0 bc > 0   [#permalink] 28 Mar 2018, 15:34
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