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by sana.noor » Tue Jan 15, 2013 6:51 am
2) Is it true that a > b ?

(1) a > -b
(2) b2 - 4 > 0

E
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Source: — Problem Solving |

by Brent@GMATPrepNow » Tue Jan 15, 2013 7:06 am
sana.noor wrote:2) Is it true that a > b ?

(1) a > -b
(2) b^2 - 4 > 0
Target question: Is a > b ?

Statement 1: a > -b
To make things easier, I'll add b to both sides to get: a + b > 0
There are several pairs of values that meet this condition. Here are two:
Case a: a = 4 and b = -3, in which case a is greater than b
Case b: a = -3 and b = 4, in which case a is not greater than b
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: b^2 - 4 > 0
In other words, b^2 > 4
This tells us that b > 2 or b < -2
Since there's no information about a, there is no way to answer the target question with certainty. So statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined:
There are still several pairs of values that meet this condition. Here are two:
Case a: a = 4 and b = -3, in which case a is greater than b
Case b: a = -3 and b = 4, in which case a is not greater than b
Since we still cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer = E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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