For which of the following x is |x|+x0 ?

Question

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

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

PKN · Answer

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

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

Ans. (A)

KarishmaB · Answer

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.

KSBGC · Answer

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.

mandy0rhtdm · Answer

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

Predayalan · Answer

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

MBAHOUSE · Answer

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

bumpbot · Answer

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

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