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On a number line if x > y is z between x and y? (1) x < 0 (2) y - x >z

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Bunuel
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On a number line if x > y is z between x and y? (1) x < 0 (2) y - x >z [#permalink] New post   15 Nov 2019, 02:03
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On a number line if x > y, is z between x and y?

(1) x < 0
(2) y - x > z


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chetan2u
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Re: On a number line if x > y is z between x and y? (1) x < 0 (2) y - x >z [#permalink] New post   15 Nov 2019, 19:38
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Bunuel wrote:
On a number line is x > y, is z between x and y?

(1) x < 0
(2) y - x > z


Are You Up For the Challenge: 700 Level Questions


Clearly both are insufficient individually.
1) x<0
y and z could be anything.
x=-1, y=-5 and z=-2....yes
x=-1, y=-2 and z=-5....no

2) y-x>z.....y>x+z
So x>y>x+z
x=-1, y=-5 and z=-4.5....yes
x=-1, y=-5 and z=-6.......no


Combined we get 0>x>y>x+z
The examples of statement (2) still stand
Insuff

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Re: On a number line if x > y is z between x and y? (1) x < 0 (2) y - x >z [#permalink] New post   27 Jul 2020, 07:30
I wonder if there is a typo on the question?

"On a number line is x > y, is z between x and y?"
Was it supposed to be: "On a number line if x > y, is z between x and y?"
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Re: On a number line if x > y is z between x and y? (1) x < 0 (2) y - x >z [#permalink] New post   30 Jul 2020, 10:56
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Bunuel sir,
Is there a typo in this question? Shouldn't it be: if x > y, is y - x > z?
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Re: On a number line if x > y is z between x and y? (1) x < 0 (2) y - x >z [#permalink] New post   30 Jul 2020, 19:12
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I assume that the prompt should read as follows:

Quote:
On a number line if x > y, is z between x and y?

(1) x < 0
(2) y - x > z


Statement 1:
No information about z.
INSUFFICIENT.

Statement 2:
Adding together x>y and y-x>z, we get:
x+y-x>y+z
y>y+z
0>z
z<0

Let z=-10, implying that y-x>-10.
Case 1: y=-10 and x=-1, with the result that y-x=-9.
In this case, z is NOT between x and y, so the answer to the question stem is NO.
Case 2: y=-11 and x=-2, with the result that y-x=-9
In this case, z IS between x and y, so the answer to the question stem is YES.

Case 1 and 2 satisfy BOTH STATEMENTS.
Since the answer is NO in Case 1 but YES in Case 2, the two statements combined are INSUFFICIENT.

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Bunuel
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Re: On a number line if x > y is z between x and y? (1) x < 0 (2) y - x >z [#permalink] New post   30 Jul 2020, 22:30
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RaghavKhanna wrote:
Bunuel sir,
Is there a typo in this question? Shouldn't it be: if x > y, is y - x > z?


Yes. Edited the typo. Thank you.
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Re: On a number line if x > y is z between x and y? (1) x < 0 (2) y - x >z [#permalink]
30 Jul 2020, 22:30
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