Is x > 2 ?

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Source: — Data Sufficiency |

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Re: Is x > 2 ?

by Jay@ManhattanReview » Thu Jun 11, 2020 9:39 pm

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BTGModeratorVI wrote:
Thu Jun 11, 2020 8:30 am
Is x > 2 ?

(1) 2x > 4
(2) x + 1 > 2

Answer: A
Source: GMAT prep
Let's take each statement one by one.

(1) 2x > 4

=> x > 4/2 => x > 2. Sufficient

(2) x + 1 > 2

=> x > 2 – 1 => x > 1. We see that x may or may not be greater than 2. Insufficient.

Correct answer: A

Hope this helps!

-Jay
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Re: Is x > 2 ?

by Brent@GMATPrepNow » Fri Jun 12, 2020 6:20 am

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BTGModeratorVI wrote:
Thu Jun 11, 2020 8:30 am
Is x > 2 ?

(1) 2x > 4
(2) x + 1 > 2


Answer: A
Source: GMAT prep
Target question: Is x > 2 ?

Statement 1: 2x > 4
Divide both sides of the inequality by 2 to get: x > 2
The answer to the target question is YES, x is greater than 2
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x + 1 > 2
Subtract 1 from both sides to get: x > 1
There are several values of x that satisfy the inequality x > 1. Here are two:
Case a: x = 1.5. In this case, the answer to the target question is NO, x is NOT greater than 2
Case b: x = 3. In this case, the answer to the target question is YES, x is greater than 2
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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