Bunuel wrote:
If y = −1/2, is 2x/y > 1?
(1) x < 0
(2) x is an integer
We are given that y = -1/2 and we need to determine whether 2x/y > 1.
Substituting -1/2 for y, we have:
Is 2x/(-1/2) > 1 ?
Is -4x > 1 ?
Is x < -1/4 ?
Statement One Alone:
x < 0
Although we know that x is less than zero, we still cannot determine whether it’s less than -1/4. Statement one alone is not sufficient to answer the question.
Statement Two Alone:
x is an integer.
Since there are positive and negative integers and zero, statement two alone is not sufficient to determine whether x is less than -1/4.
Statements One and Two Together:
Using the information from statements one and two, we know that x is less than zero and that x is an integer. Thus, x ≤ -1, and must be less than -1/4.
Answer: C
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