BTGModeratorVI wrote: ↑Thu Aug 20, 2020 7:18 am
Is 1 < x < 2?
(1) 0 < x
(2) x < 3
Answer: E
Source: Official guide
Target question: Is 1 < x < 2?
When I SCAN the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the
target question. So, I’m going to head straight to……
Statements 1 and 2 combined
Statement 1 tells us that 0 < x
Statement 2 tells us that x < 3
When we combine the two inequalities we get: 0 < x < 3
There are infinitely-many values of x that satisfy the inequality 0 < x < 3. Here are two:
Case a: x = 1.5. In this case, the answer to the target question is
YES, it's true that 1 < x < 2
Case b: x = 0.5. In this case, the answer to the target question is
NO, it's not true that 1 < x < 2
Since we cannot answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
