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23 Sep 2018, 21:03
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
90% (00:33) correct
10%
(00:37)
wrong
based on 683
sessions
History
Date
Time
Result
Not Attempted Yet
Is 1 < x < 2?
(1) 0 < x
(2) x < 3
(1) 0 < x
(2) x < 3
Solving this question helps.
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24 Sep 2018, 05:09
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Bunuel
(1) 0 < x
x= 1.5 => Is 1 < x < 2 --yes
x=0.5 => Is 1 < x < 2 --no
not sufficient
(2) x < 3
x= 1.5 => Is 1 < x < 2 --yes
x=0.5 => Is 1 < x < 2 --no
not sufficient
using both
0<x<3 is not equal to 1 < x < 2
not sufficient
E
19 Mar 2020, 06:50
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Bunuel
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
