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For which of the following x is |x|+x>0 ?

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Senior Manager
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For which of the following x is |x|+x>0 ?  [#permalink]

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New post 13 Aug 2018, 21:33
2
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

97% (00:30) correct 3% (01:32) wrong based on 71 sessions

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For which of the following x is |x|+x >0?

A. 2
B. -8
C. -6
D. -7
E. -4
Director
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Re: For which of the following x is |x|+x>0 ?  [#permalink]

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New post 13 Aug 2018, 21:42
ammuseeru wrote:
For which of the following x is |x|+x >0?

A. 2
B. -8
C. -6
D. -7
E. -4


Given |x|+x >0
Or, |x| > -x
Or, x>0

So, among the answer options, 2 is positive in option(A).

Ans. (A)
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Re: For which of the following x is |x|+x>0 ?  [#permalink]

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New post 13 Aug 2018, 22:52
ammuseeru wrote:
For which of the following x is |x|+x >0?

A. 2
B. -8
C. -6
D. -7
E. -4



To remove the absolute value sign from an equation/inequality, we can use the definition of absolute values:

|x| = x if x >=0
|x| = -x is x < 0

So if x is negative, |x| = -x and |x| + x will become -x + x which is 0.
If we need it to be greater than 0, x should be positive.

Option (A) satisfies.
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For which of the following x is |x|+x>0 ?  [#permalink]

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New post 22 Aug 2018, 05:48
ammuseeru wrote:
For which of the following x is |x|+x >0?

A. 2
B. -8
C. -6
D. -7
E. -4



Only positive value works here.

|x| is always positive but only x is negative for negative value. So, ultimate result is 0.

The best answer is A.
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Re: For which of the following x is |x|+x>0 ?  [#permalink]

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New post 22 Aug 2018, 05:51
For x > 0 this equation is always positive
For x < 0 this equation is always zero
So only answer greater than zero is 2

Posted from my mobile device
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Re: For which of the following x is |x|+x>0 ?  [#permalink]

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New post 22 Aug 2018, 05:59
Substitute the answer values for x
2+2 >0
8-8 =0
6-6 =0
7-7 =0
4-4 =0
therefore answer is option A
Re: For which of the following x is |x|+x>0 ? &nbs [#permalink] 22 Aug 2018, 05:59
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