II wrote:If xy is less than 3, is x less than 1
1) y is greater than 3
2) x is less than 3
We are given that the product of x and y is less than 3 and must determine whether x < 1.
Statement One Alone:
y is greater than 3.
We are given that y is greater than 3. If x is greater than or equal to 1, then xy will be greater than 3. Therefore, in order for xy to be less than 3, x must be less than 1. Statement one alone is sufficient to answer the question.
Statement Two Alone:
x is less than 3.
The information in statement two is not sufficient to answer the question. For instance, if x = 2, and y = 1, then xy = 2(1) = 2. However, if x = 1/2 and y = 4, then xy = (1/2)(4) = 2. In the former case, x > 1; in the latter case, x < 1. Statement two alone is not sufficient to answer the question.
Answer:
A
