-
BTGmoderatorDC
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Target question: Is x > y?BTGmoderatorDC wrote:Is x > y?
(1) x - y > 3
(2) x + y > 3
Statement 1: x - y > 3
At first glance, this information APPEARS to be insufficient.
However, if we recognize that 3 > 0, then we can add this to the inequality to get: x - y > 3 > 0
From here, we can ignore the 3 to see that: x - y > 0
Add y to both sides to get: x > y
So, the answer to the target question is YES, it is true that x > y
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: x + y > 3
There are several values of x and y that satisfy statement 2. Here are two:
Case a: x = 4 and y = 2. In this case, the answer to the target question is YES, it is true that x > y
Case b: x = 2 and y = 4. In this case, the answer to the target question is NO, it is not true that x > y
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
