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If b < 2 and 2x  3b = 0, which of the following must be tru
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13 Feb 2014, 01:20
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69% (01:26) correct 31% (01:49) wrong based on 795 sessions
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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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13 Feb 2014, 01:20




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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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13 Feb 2014, 04:44
2x3LT2=0, where LT means 'Less Than' 2XLT6=0 2x=LT6 x=LT6/2 x=LT3
Answer is D



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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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13 Feb 2014, 05:12
From 2x3b=0 we have x = 3/2*b. Since b<2, it follows that x<3. If x<3, x is ALWAYS less than 2. Thus, the correct answer is B.



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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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13 Feb 2014, 05:48
@magneticlp : What about values between 2 and 3? Remember there are no integer restrictions on this question.
Also note that its a must be true question.



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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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13 Feb 2014, 10:57
If b < 2 and 2x  3b = 0, which of the following must be true? (A) x > 3 (B) x < 2 (C) x = 3 (D) x < 3 (E) x > 3 Sol: given 2x3b=0 or x =3b/2 and b<2 St 1: x>3 lets consider possible value of b if b =24 then x =36 so x>3 could be true but not must be true St2: x<2 if b=1.9 the x= 3*1.9/2 or x> 2 so this condition could be true but not must be true St3: x=3 for x =3 we need b=1 which is possible but again falls under could be true cause b can take any value Less than 2 St4:x<3 > or 3b/2<3 we get (3b6)/2< 0 or 3b6< 0 Or b< 2 which is same as the original given condition so we need not look beyond option D but for curiosity lets look at E as well St 5: x> 3 or 3b/2>3 or (3b6)/2 >0 3b6>0 or b>2 clearly not true Ans D Posted from my mobile device
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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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13 Feb 2014, 17:15
X & B DO NOT HAVE TO BE INTEGERS
take a closely related number to \(2x=3b\)
\(2x=3(1.9)\)
\(\frac{(2x=5.7)}{2}\)
\(x=2.85\)
\(2.85< 3\)



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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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15 Feb 2014, 09:53
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf b < 2 and 2x  3b = 0, which of the following must be true? (A) x > 3 (B) x < 2 (C) x = 3 (D) x < 3 (E) x > 3 2x = 3b => 2x/3 = b < 2 => 2x/3 < 2 => x < 3  Option D)
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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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16 Feb 2014, 01:45
Option D. We're given, b<2 Multiply both sides with 3 3b<6 Given,3b=2x 2x<6 x<3



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Re: Inqualities QR2 PS 92
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24 Apr 2016, 15:18
to solve this problem first you need to solve for b. You are given 2 facts, that b<2 and that 2x  3b = 0
1) Solve for b
2x  3b = 0 => 3b = 2x => b = 2x/3 => b = 2x/3
2) then replace into b < 2 and solve for x
2x/3 < 2 => x < 6/2 => x < 3
3) x <3 is answer choice D!



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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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06 May 2016, 02:51
given equation  2x  3b = 0; simplifying 2x = 3b x = 3b/2 x = 3/(2/b) now as b < 2 then denominator 2/b will always be greater than 1 so x will always be less than 3 hence x< 3. correct option D.



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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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13 Feb 2018, 21:19
Hi All, This question can be solved by TESTing VALUES, although you'll likely need more than one TEST to get to the solution. We're told that B < 2 and 2X  3B = 0. We're asked what MUST be true. IF... B = 0 2X  3(0) = 0 2X = 0 X = 0 Eliminate C and E. IF.... B = 10 2X  3(10) = 0 2X + 30 = 0 2X = 30 X = 15 Eliminate A. Notice how similar Answers B and D are? On a fundamental level, any number that 'fits' Answer B ALSO fits Answer D (but D includes some solutions that are NOT in B). Since there can't be two correct answers, B cannot be correct. That having been said, here's how you can prove that D is the answer... IF.... B = 1.99 2X  3(1.99) = 0 2X  (about 6) = 0 2X = (about 6) X = (about 3) Eliminate B. Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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15 Feb 2018, 10:06
Quote: If b < 2 and 2x  3b = 0, which of the following must be true?
(A) x > 3 (B) x < 2 (C) x = 3 (D) x < 3 (E) x > 3
If b < 2, then multiplying the inequality by 3 yields 3b < 6 Manipulating the equation, we have 2x = 3b; thus: 2x < 6 x < 3 Answer: D
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Re: If b < 2 and 2x  3b = 0, which of the following must be tru
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19 Jul 2018, 09:06
From the question stem > 2x3b=0 then 2x=3b. Possible value of x=3 and b=2 BUT b<2 THEN, x<3. Anser choice D.




Re: If b < 2 and 2x  3b = 0, which of the following must be tru &nbs
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19 Jul 2018, 09:06






