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# Is 3x + y > 3?

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Math Expert
Joined: 02 Sep 2009
Posts: 58370
Is 3x + y > 3?  [#permalink]

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12 Jan 2017, 07:01
00:00

Difficulty:

25% (medium)

Question Stats:

79% (01:24) correct 21% (00:55) wrong based on 72 sessions

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Is 3x + y > 3?

(1) y/3 > 1
(2) x > 1/3

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Intern
Joined: 15 Nov 2016
Posts: 10
Re: Is 3x + y > 3?  [#permalink]

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12 Jan 2017, 07:47
Solution is c since from stmt 1 cany say anything about x insuff.
Stmnt 2 is insuff as talks only about x
Combining. Them gives x and y greater than 0 and y alone is greater than 3 which gives clear answer hence c

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Manager
Joined: 13 Apr 2010
Posts: 88
Re: Is 3x + y > 3?  [#permalink]

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12 Jan 2017, 13:57
from Statement 1 , y/3 >1 ==> y>3
However , no information on x . So , statement 1 is insufficient

Statement 2 says , x is positive .
However , no information on y . So , statement 2 is insufficient

Combining ,
We know y >3 and x >0 . so 3x +y > 3

Answer is C .
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Re: Is 3x + y > 3?  [#permalink]

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16 Jan 2017, 18:13
1
Bunuel wrote:
Is 3x + y > 3?

(1) y/3 > 1
(2) x > 1/3

We need to determine whether 3x + y > 3.

Statement One Alone:

y/3 > 1

Thus, y > 3. However, without knowing anything about x, we cannot answer the question. For example, if x is positive, then 3x + y will be greater than 3. However, if x is negative, then 3x + y will be less than 3. Statement one alone is not sufficient.

Statement Two Alone:

x > 1/3

Thus, 3x > 1. However, without knowing anything about y, we cannot answer the question. For example, if y = 3, then 3x + y > 3. However, if y = 1, then 3x + y < 3. Statement two alone is not sufficient.

Statements One and Two Together:

Using statements one and two, we know that y > 3 and 3x > 1. Thus, 3x + y > 4. So 3x + y will be always greater than 3. Statements one and two together are sufficient.

Answer: C
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Re: Is 3x + y > 3?  [#permalink]

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15 Mar 2018, 13:28
Bunuel wrote:
Is 3x + y > 3?

(1) y/3 > 1
(2) x > 1/3

(1) y/3 > 1

y > 3

No info about x.

Insufficient

(2) x > 1/3

No info about y.

Insufficient

Combine 1 & 2

We test the threshold x = 1/3 & y = 3

4 > 3.....so any number will always prove that inequality is ALWAYS true and answer is Yes

Answer: C
Re: Is 3x + y > 3?   [#permalink] 15 Mar 2018, 13:28
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# Is 3x + y > 3?

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