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Is x a positive number?

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Source: — Data Sufficiency |
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by nitya34 » Mon Mar 16, 2009 9:39 am
E?
(1)-->x>-4
(2)-->-5>x>5

is it so simple?or any trap?
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by bstalling » Mon Mar 16, 2009 9:40 am
Statement 1 says x+6>2, thus x>-4, not sufficient

Statement 2 says -5>x>5

Combining them does nothing.
Choose E.
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by karmayogi » Mon Mar 16, 2009 11:20 am
1. x > -4
2. x^2 > 25
(+ or - ) x > 5
-x > 5 or x > 5
x < -5 or x > 5

1. Not sufficient
2. Not sufficient
1 & 2
x > -4 and (x<-5) => not possible
x > 4 and x > 5 => x>5
That is, x = +ve

IMO C.
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by mals24 » Mon Mar 16, 2009 12:16 pm
E for me as well

St 1: x>-4..insuff
St2: -5<x<5..insuff

Combining we get: -4<x<5..insuff

So E.
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by logitech » Mon Mar 16, 2009 1:59 pm
mals24 wrote:E for me as well

St 1: x>-4..insuff
St2: -5<x<5..insuff

Combining we get: -4<x<5..insuff

So E.
First of all, Karmayogi analyzed the Statement 2 correctly
2. x^2 > 25
(+ or - ) x > 5
-x > 5 or x > 5
x < -5 or x > 5

Now lets combine these two lines


..........-4.........0.................................

.....-5...............0....................5............


X>5

I would say C
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by cramya » Mon Mar 16, 2009 2:18 pm
Stmt I

x > -4
could be positive or negative

INSUFF

Stmt II

x^2 > 25

|x| > 5

could be positive or negative

INSUFF

Together:

x > - 4

|x| > 5

x has to be greater than +5

I would go with C too.

Regards,
CR
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by Vemuri » Mon Mar 16, 2009 5:45 pm
I too selected C as my answer, but the OA is given as E.

if x^2 > 25
then x> +5 or -5 i.e. x>-5 or x>5. Is this not correct? How is it that combining both the statements is not sufficient to answer the question?
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by cramya » Mon Mar 16, 2009 6:03 pm
too selected C as my answer, but the OA is given as E.

if x^2 > 25
then x> +5 or -5 i.e. x>-5 or x>5. Is this not correct? How is it that combining both the statements is not sufficient to answer the question?
x^2 > 25

|x| > 5

x>5 or x<-5

Since x>-4 is given x>5


The 2 statements will never contracdict each other i.e they will have something in common

x>-4 and x>5 is the common thing between stmt I and II and they dont contardict i.e something can be greater than -4 and 5 at the same time.

Probably we can request Ian/Stuart to clarify the C or E part for us.

Regards,
Cramya
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by cramya » Mon Mar 16, 2009 6:07 pm
Can u double check the question?

If stmt II was x^2<25

|x| < 5

x<5 x>-5

-5<x<5 would hold along with x>-4 which will make it insufficient leading to E.
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by Vemuri » Mon Mar 16, 2009 6:22 pm
cramya wrote:Can u double check the question?

If stmt II was x^2<25

|x| < 5

x<5 x>-5

-5<x<5 would hold along with x>-4 which will make it insufficient leading to E.
Good shot cramya :wink: Unfortunately, I did not make any mistake in posting the question as is. The source is princeton guide. Its an exercise question with no explanation to the answers. If there are no answers that support E, I will assume that it was a mistake in the book.
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by logitech » Mon Mar 16, 2009 6:40 pm
cramya wrote:Can u double check the question?

If stmt II was x^2<25

|x| < 5

x<5 x>-5

-5<x<5 would hold along with x>-4 which will make it insufficient leading to E.
If the answer is E, the book has a typo as described by Cramya.
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