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x is different from zero

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x is different from zero [#permalink] New post 06 Mar 2018, 14:34
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Question Stats:

52% (00:38) correct 47% (00:52) wrong based on 34 sessions
\(x \neq 0\)

Quantity A
Quantity B
\(|x| + |-2|\)
\(|x - 2|\)


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.

Kudo for the right answer and solution.
[Reveal] Spoiler: OA

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Re: x is different from zero [#permalink] New post 06 Mar 2018, 18:36
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The simplest way to solve this is to choose numbers for x. Try to choose numbers that you believe will produce differing answers. For example:

If x = 2

then quantity A is |2| + |-2| = 4
and quantity B is |2-2| = 0

giving us an answer of A. But let's try other numbers to get another answer:

If x = -2

then quantity A is |-2| + |-2| = 4
and quantity B is |-2-2| = 4

giving us an answer of C.

Since we were able to generate two different answers, the real answer is D.
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Re: x is different from zero [#permalink] New post 08 Mar 2018, 18:26
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correct: D
A : |x| + |-2|
B : |x - 2|

if x is negative then A and B are equal because in both of them x will be added to 2 and their sign is negative but will be positive with abs.
if x is positive then in A it's positive value will be added to 2, but in B it will be decremented by 2. so A is bigger in this case.
Since x can be either negative or positive, both the situations may occur and D is correct.
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Re: x is different from zero [#permalink] New post 12 Mar 2018, 01:32
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correct: D
A : |x| + |-2|
B : |x - 2|
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Re: x is different from zero [#permalink] New post 26 Mar 2018, 05:18
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It's a good question. Here's it's solution:

Quantity A: |x| + |-2|
Quantity B: |x-2|

Given that x is not 0. Thus, either x is positive, or it's negative.

If x is positive, then Quantity A is greater. On other hand, if x is negative, then both quantities become equal.

Thus, Choice D is correct.
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Re: x is different from zero   [#permalink] 26 Mar 2018, 05:18
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