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

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If b < 2 and 2x - 3b = 0 which of the following must be true [#permalink]

25 Oct 2010, 05:42

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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
D. x > 3

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Re: which of the following must be true.... [#permalink]

25 Oct 2010, 06:15

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pzazz12 wrote:

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

2x-3b=0 --> b=\frac{2x}{3}<2 --> x<3.

Answer: D.
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Re: which of the following must be true.... [#permalink]

26 Oct 2010, 10:48

good explanation Bunuel ...txs

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Re: which of the following must be true.... [#permalink]

29 Apr 2013, 21:14

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pzazz12 wrote:

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
D. x>3

Given, .......... b < 2 \Rightarrow b = LT2 ...........

& 2x - 3b = 0..... Therefore ..........2x - 3 ( LT2 ) = 0

Therefore, 2x - LT6 = 0 \Rightarrow 2x = LT6 \Rightarrow x=\frac{LT6}{2}

\Rightarrow x = LT 3

\Rightarrow x < 3 Hence, Answer choice .. D
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Re: which of the following must be true.... [#permalink]

29 Apr 2013, 22:51

2x - 3b = 0
Therefore, 2x = 3b
As, b<2
2x < 3(2)
i.e x < 3

Answer : D
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Re: which of the following must be true.... [#permalink] 29 Apr 2013, 22:51

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

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

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

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