Is |x-6| 5? 1. x is an integer 2. x^2

Question

Is |x-6| > 5?

1. x is an integer 
2. x^2 < 1

selvae · Answer

should be E

|x-6| > 5 can be written as x>11 and x<1 on the number line

1) x is an integer - INSUFF - coz X can be any number.
2) x^2 < 1 which can be written as |X| < 1 --->In a number line X<1 and X>-1 - INSUFF

Combining both inSUFF

OA?

scthakur · Answer

From stmt2:
-1 < x < 1
or, -7 < x-6 < -5
or, 5 < |x-6| < 7

Hence, answer should be B.

vksunder · Answer

OA - B.

scthakur - could you please explain statement b in detail. Thanks!

gurpreet07 · Answer

Hi scthakur can u please explain your answer in more detail.

scthakur · Answer

From stmt2:
x^2 < 1, this means, -1 < x < 1
We need to compare (x-6), hence, subtract 6 from all the sides of the above inequality.
Thus, (-1-6) < (x-6) < (1-6)
or, -7 < (x-6) < -5

That means, absolute value of (x-6) will be between 5 and 7
i.e. 5 < |x-6| < 7

And this clearly explains that |x-6| > 5. Hence, sufficient.

gurpreet07 · Answer

so silly of me why couldn't i get this........
anyways thanks a lot

GMAT TIGER · Answer

(x^2<1) and (x<1), which is not provided in the question, are two entirely different things but both are/would be sufficient to answer the question if x<1 were also provided as supplimentary information.

(x^2<1) has limits but (x<1) has no limit.
In (x^2<1), x is > -1 but < 1.
In (x<1), x could have any value smaller than 1.
So B is suff.

linau1982 · Answer

I agree, it is B I'd strongly recommend reading this https://www.manhattangmat.com/strategy-s ... -value.cfm for people having trouble with absolute value. It really helped me.

icandy · Answer

Is |x-6| > 5? 1. x is an integer 2. x^2 5 If we consider x-6 to be +ve we get x > 11. If we consider x -ve we get x <1 so the Q is 11

Is |x-6| > 5? 1. x is an integer 2. x^2 < 1

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