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What is the value of x?

Expert replies
Source: — Data Sufficiency |

by Brent@GMATPrepNow » Mon Oct 29, 2018 5:21 am
BTGmoderatorDC wrote:What is the value of x?

(1) (x + 2)(x + 3) = 0
(2) x² + 5x + 6 = 0
Target question: What is the value of x?

Statement 1: (x + 2)(x + 3) = 0
This means that EITHER x = -2 OR x = -3
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: x² + 5x + 6 = 0
Factor the left side of the equation to get: (x + 2)(x + 3) = 0
HOLD ON...
This is the same equation as the equation in statement 1.

ASIDE: When the two statements provide the same information in a Data Sufficiency question, the correct answer is either D (each statement is sufficient) or E (the statements combined are not sufficient)
Since statement 1 is NOT SUFFICIENT, we can conclude that statement 2 is NOT SUFFICIENT, and the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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