lheiannie07 wrote:Is xy > 3 ?
(1) x + y > 3
(2) x - y > 3
We need to determine whether xy > 3.
Statement One Alone:
x + y > 3
Statement one alone is not sufficient to answer the question. For instance, if x = 1/2 and y = 3, then xy = 3/2 IS NOT greater than 3. However, if x = 2 and y = 3, then xy = 6 IS greater than 3.
Statement Two Alone:
x - y > 3
Statement two alone is not sufficient to answer the question. For instance, if x = 4 and y =1/2, then xy = 2 IS NOT greater than 3. However, if x = 5 and y = 1, then xy = 5 IS greater than 3.
Statements One and Two Together:
If we add the two inequalities from statements one and two, we will have:
(x + y > 3)
+
(x - y > 3)
2x > 6
x > 3
However, this still is not enough information to answer the question.
For instance, if if x = 4 and y =1/2, then xy IS NOT greater than 3. However, if x = 5 and y = 1, then xy IS greater than 3.
Answer:
E
