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If |12x−5|>|7−6x|, which of the following CANNOT be the

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Re: If |12x−5|>|7−6x|, which of the following CANNOT be the  [#permalink]

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New post 13 Jan 2018, 06:41
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How did you arrive at x<-1/3 or x>2/3 from (x+1/3) ( x-2/3) >0???
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Re: If |12x−5|>|7−6x|, which of the following CANNOT be the  [#permalink]

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New post 13 Jan 2018, 06:51
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Kezia9 wrote:
How did you arrive at x<-1/3 or x>2/3 from (x+1/3) ( x-2/3) >0???


There are links on previous pages which lead to posts explaining this. Here are some more:

9. Inequalities



For more check Ultimate GMAT Quantitative Megathread



Hope it helps.
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Re: If |12x−5|>|7−6x|, which of the following CANNOT be the  [#permalink]

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New post 29 Jan 2018, 11:11
emmak wrote:
If |12x−5|>|7−6x|, which of the following CANNOT be the product of two possible values of x?

A. -12
B. -7/5
C. -2/9
D. 4/9
E. 17



Let’s first solve for when (12x - 5) and (7 - 6x) are both positive.

12x - 5 > 7 - 6x

18x > 12

x > 12/18

x > 2/3

Now let’s solve for when (12x - 5) is negative and (7 - 6x) is positive.

-(12x - 5) > 7 - 6x

-12x + 5 > 7 - 6x

-2 > 6x

-1/3 > x

So we have x < -1/3 or x > 2/3.

If x were -1/3 or 2/3, then the product would be -2/9. However, the inequalities specify that x can be neither -1/3 nor 2/3, so we know the product of two possible values of x cannot be -2/9.

Answer: C
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Re: If |12x−5|>|7−6x|, which of the following CANNOT be the &nbs [#permalink] 29 Jan 2018, 11:11

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