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Is 1 < x < 2? (1) 0 < x (2) x < 3
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23 Sep 2018, 21:03
23 Sep 2018, 21:03
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8%
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Director
Joined: 20 Feb 2015
Posts: 626
Given Kudos: 74
Concentration: Strategy, General Management
Re: Is 1 < x < 2? (1) 0 < x (2) x < 3
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24 Sep 2018, 05:09
24 Sep 2018, 05:09
Bunuel
Is 1 < x < 2?
(1) 0 < x
(2) x < 3
(1) 0 < x
(2) x < 3
(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
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Joined: 12 Sep 2015
Posts: 6803
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Location: Canada
Re: Is 1 < x < 2? (1) 0 < x (2) x < 3
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19 Mar 2020, 06:50
19 Mar 2020, 06:50
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Bunuel
Is 1 < x < 2?
(1) 0 < x
(2) x < 3
(1) 0 < x
(2) x < 3
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
