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