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Statement 1: –(2 + y) > 0 Expand to get: –2 - y > 0 Add y to both sides to get: -2 > y If y is LESS than -2, we can be certain that y is NEGATIVE. This means we can conclude that y is definitely not greater than 0 Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: (2 + y)² > 0 Hmmm, the square of some value is ALWAYS greater than or equal to zero. So, this statement doesn't seem to tell us much. Since this statement doesn't FEEL sufficient, I'll TEST some values. There are several values of y that satisfy statement 2. Here are two: Case a: y = 1. Here, (2 + y)² = (2 + 1)² = 9, and 9 > 0. In this case, y is GREATER THAN 0 Case b: y = -1. Here, (2 + y)² = (2 + -1)² = 1, and 1 > 0. In this case, y is NOT greater than 0 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT