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TheUltimateWinner
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Is |x|<6? 1) (x+6)(x-6)≤0 2) (x-6)(x-9)≤0 23 Mar 2019, 08:50
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

85% (hard)

Question Stats:

24% (01:34) correct 76% (01:49) wrong based on 46 sessions

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Is \(|x|<6?\)
1) \((x+6)(x-6)≤0\)
2) \((x-6)(x-9)≤0\)
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Official Answer
B
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
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stne
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Is |x|<6? 1) (x+6)(x-6)≤0 2) (x-6)(x-9)≤0 Updated on: 24 Mar 2019, 11:55
Originally posted by stne on 23 Mar 2019, 11:19.
Last edited by stne on 24 Mar 2019, 11:55, edited 2 times in total.
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AsadAbu
Is \(|x|<6?\)
1) \((x+6)(x-6)≤0\)
2) \((x-6)(x-9)≤0\)
Show more

The answer seems to be D
Unless I am missing something both the statements do seem to contradict each other.
Statement 1 . -6<x<6 , so Yes |x| < 6
Statement 2: 6<x<9 So a definite NO |x| \(\nless\) 6


Edit:
Missed the equal to in the question above.
If x=6 or -6 then |x|=6 So it's a NO
IF -6<x<6 then |x| < 6 so it's a Yes
Hence Statement 1 is Insufficient.

Ans= B
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thyagi
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Is |x|<6? 1) (x+6)(x-6)≤0 2) (x-6)(x-9)≤0 23 Mar 2019, 20:01
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stne
AsadAbu
Is \(|x|<6?\)
1) \((x+6)(x-6)≤0\)
2) \((x-6)(x-9)≤0\)

The answer seems to be D
Unless I am missing something both the statements do seem to contradict each other.
Statement 1 . -6<x<6 , so Yes |x| < 6
Statement 2: 6<x<9 So a definite NO |x| \(\nless\) 6
Show more
Here's what you are missing. (X+6)(x-6) <=0
X can be equal to -6 or can be equal to +6.. in these cases your answer would be definite no because |X| = 6

Now take this case of (x-6)(X+6) < 0
X-6<0 and X+6>0
-6<X<6

X can range from any values between 6 and -6.
Take X equals to 3...
|X| < 6 and your answer would be a definite yes....

Statement 1 is not sufficient on its own

Statement 2 :

If X = 9 and even if X= 6..
|X| < 6 , a definite no { (x-6)(x-9) = 0}

And 6>X>9 {(x-6)(x-9)<0

Take X as 7 |X| < 6, a definite no...

Statement 2 is sufficient on its own..

Posted from my mobile device
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stne
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Is |x|<6? 1) (x+6)(x-6)≤0 2) (x-6)(x-9)≤0 24 Mar 2019, 11:56
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thyagi
stne
AsadAbu
Is \(|x|<6?\)
1) \((x+6)(x-6)≤0\)
2) \((x-6)(x-9)≤0\)

The answer seems to be D
Unless I am missing something both the statements do seem to contradict each other.
Statement 1 . -6<x<6 , so Yes |x| < 6
Statement 2: 6<x<9 So a definite NO |x| \(\nless\) 6
Here's what you are missing. (X+6)(x-6) <=0
X can be equal to -6 or can be equal to +6.. in these cases your answer would be definite no because |X| = 6

Now take this case of (x-6)(X+6) < 0
X-6<0 and X+6>0
-6<X<6

X can range from any values between 6 and -6.
Take X equals to 3...
|X| < 6 and your answer would be a definite yes....

Statement 1 is not sufficient on its own

Statement 2 :

If X = 9 and even if X= 6..
|X| < 6 , a definite no { (x-6)(x-9) = 0}

And 6>X>9 {(x-6)(x-9)<0

Take X as 7 |X| < 6, a definite no...

Statement 2 is sufficient on its own..

Posted from my mobile device
Show more

Correct , Thank you, Missed that equal to criteria. Added the edit to my Post above.
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