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# If b<2 and 2x-3b = 0, which of the following must be

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Senior Manager
Joined: 02 Oct 2005
Posts: 291
If b<2 and 2x-3b = 0, which of the following must be  [#permalink]

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11 Oct 2005, 09:36
1
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(N/A)

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82% (01:05) correct 18% (00:08) wrong based on 34 sessions

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This topic is locked. Open discussion of the question is at http://gmatclub.com/forum/if-b-2-and-2x ... 67460.html

If b -3
II. x < 3
III. x = 3

I only
II only
III only
I and II
II and III

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Manager
Joined: 06 Oct 2005
Posts: 88
Location: Beantown
Re: If b<2 and 2x-3b = 0, which of the following must be  [#permalink]

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11 Oct 2005, 10:16
Agree (b)

I. x>-3 if b=1 2x-3=0 x=1.5 false

II.x<3 if b=2 2x-6=0 x=-2 (but b approaches 2 never equals) and if b=-3 then 2x+6=0 x=-3. This is true

III. x=3 as you can see from the others this is false.

Brendan.
Manager
Joined: 28 Jun 2005
Posts: 64
Location: New York, NY
Re: If b<2 and 2x-3b = 0, which of the following must be  [#permalink]

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11 Oct 2005, 11:26
II only for me as well!

b<2 and b=(2/3)x

(I) if x <-3 both requirements can still be met
(II) when x = 3, then b = 2. since we need b < 2, x MUST be less than 3
(III) see explanation for (II)
Manager
Joined: 03 Oct 2005
Posts: 83
Re: If b<2 and 2x-3b = 0, which of the following must be  [#permalink]

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11 Oct 2005, 11:52
1
II only.

I tried this intially with plugging the answer values in - very quickly got nowhere. Princeton's plugging it in will need a lot of practice for me to get it right

Much easier was solving the equation itself.

b < 2 and 2x-3b=0

Decided to get value of b, in terms of x from equation and substitute in the inequality.
b=2x/3
therefore, 2x/3 < 2
or x <3
Senior Manager
Joined: 02 Oct 2005
Posts: 291
Re: If b<2 and 2x-3b = 0, which of the following must be  [#permalink]

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11 Oct 2005, 13:39
olorin: The equation method was a good one. Thanks.
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Joined: 09 Sep 2013
Posts: 10166
Re: If b<2 and 2x-3b = 0, which of the following must be  [#permalink]

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08 Jan 2018, 05:59
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Re: If b<2 and 2x-3b = 0, which of the following must be   [#permalink] 08 Jan 2018, 05:59
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