Is x < y?
(1) z < y
(2) z < x
The OA is the option E.
If we subtract both statements we will get that x<y. Why is the correct answer E?<i class="em em-disappointed"></i>
Is x < y?
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- GMATGuruNY
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Statement 1:VJesus12 wrote:Is x < y?
(1) z < y
(2) z < x
No information about x.
INSUFFICIENT.
Statement 2:
No information about y.
INSUFFICIENT.
Statements combined:
Case 1: z=0, y=2 and x=1
In this case, x < y so the answer to the question stem is YES.
Case 2: z=0, y=1 and x=2
In this case, x > y, so the answer to the question stem is NO.
Since the answer is YES in Case 1 but NO in Case 2, INSUFFICIENT.
The correct answer is E.
We cannot subtract inequalities; we can only ADD them.If we subtract both statements we will get that x<y. Why is the correct answer E?<i class="em em-disappointed"></i>
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Don't subtract inequalitiesVJesus12 wrote:Is x < y?
(1) z < y
(2) z < x
The OA is the option E.
If we subtract both statements we will get that x<y. Why is the correct answer E?<i class="em em-disappointed"></i>
Doing so can yield erroneous statements.
Consider this example:
5 < 6
0 < 9
When we subtract these inequalities , we get 5 - 0 < 6 - 9
Evaluate to get 5 < -3 (not true)
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We need to determine if x < yVJesus12 wrote:Is x < y?
(1) z < y
(2) z < x
Statement One Alone:
z < y
Since we know nothing about x, statement one alone is not sufficient to answer the question.
Statement Two Alone:
z < x
Since we know nothing about y, statement one alone is not sufficient to answer the question.
Statements One and Two Together:
Although we know that both x and y are greater than z, we still cannot determine whether y is greater than x.
Answer: E
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