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# If a and b are two consecutive even integers such that a > b and 3a <

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If a and b are two consecutive even integers such that a > b and 3a <  [#permalink]

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Updated on: 14 Jun 2017, 08:05
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Difficulty:

55% (hard)

Question Stats:

67% (02:27) correct 33% (02:19) wrong based on 90 sessions

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If a and b are two consecutive even integers such that a > b and 3a < 2b. then which of the following describes the range of possible values for b?

A. b > 0
B. b < 0
C. b < -6
D. b > 6
E. b < 4

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Originally posted by rohan2345 on 14 Jun 2017, 08:01.
Last edited by Bunuel on 14 Jun 2017, 08:05, edited 1 time in total.
Renamed the topic and edited the question.
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Posts: 58373
Re: If a and b are two consecutive even integers such that a > b and 3a <  [#permalink]

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14 Jun 2017, 08:09
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rohan2345 wrote:
If a and b are two consecutive even integers such that a > b and 3a < 2b. then which of the following describes the range of possible values for b?

A. b > 0
B. b < 0
C. b < -6
D. b > 6
E. b < 4

Since a and b are two consecutive even integers and a > b, then a = b + 2;

Given: 3(b + 2) < 2b;

b < -6.

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Re: If a and b are two consecutive even integers such that a > b and 3a <  [#permalink]

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20 Jun 2017, 07:27
rohan2345 wrote:
If a and b are two consecutive even integers such that a > b and 3a < 2b. then which of the following describes the range of possible values for b?

A. b > 0
B. b < 0
C. b < -6
D. b > 6
E. b < 4

Since a and b are consecutive even integers and a > b, we can say that a = b + 2.

We can substitute b + 2 for a in the inequality 3a < 2b and we have:

3(b+2) < 2b

3b + 6 < 2b

b < -6

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Re: If a and b are two consecutive even integers such that a > b and 3a <  [#permalink]

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25 Mar 2018, 15:36
Bunuel wrote:
rohan2345 wrote:
If a and b are two consecutive even integers such that a > b and 3a < 2b. then which of the following describes the range of possible values for b?

A. b > 0
B. b < 0
C. b < -6
D. b > 6
E. b < 4

Since a and b are two consecutive even integers and a > b, then a = b + 2;

Given: 3(b + 2) < 2b;

b < -6.

would u plz solve this one using plug in method. thanks.

Re: If a and b are two consecutive even integers such that a > b and 3a <   [#permalink] 25 Mar 2018, 15:36
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