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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