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If x^2 = y^2, is true that x>0?
II. y<= -1
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Option C is the correct answer.
x^2=y^2 –> |x|=|y| –> either y=x or y=−x.
Statement I is insufficient: x=2y+1 –> if y=x then we would have: x=2x+1 –> x=−1<0 (notice that in this case y=x=−1) but if y=−x then we would have: x=−2x+1 –> x=1/3>0 (notice that in this case y=−x=−1/3). Not sufficient.
Statement II is insufficient: y<= -1. Clearly insufficient.
Together I and II, Since from (2) y≤−1 then from (1) y=x=−1, so the answer to the question is NO. Sufficient.
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