SOLUTION: If | x-2 | >0, which of the following cannot be true? A)x>2y B)x<2y C) x=2y D)x=17

Let's pick some values for x and y for each choice and see
which one cannot be true.

Let's try choice A:
, 

Let's pick x=1 and y=0.4

, 
, 
, 

Both those are true, so answer A can be true, so A is not the 
correct choice.

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So let's try choice B:

, 

Let's pick x=1 and y=1

, 
, 
, 

Both those are true, so answer B can be true, so B is not the 
correct choice.

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So let's try choice C:

, 

Let's pick x=4 and y=2

, 
, 
, 

Both those are true, so answer C can be true, so C is not the 
correct choice.

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So let's try choice D:

, 

We must pick x=17

, 
, 
, 

Both those are true, so answer D can be true, so D is not the 
correct choice.

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So either you copied the problem wrong, or the teacher gave you a 
botched problem.

Edwin