A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
An absolute value is the positive difference between that value and 0. To put it in another way, it is the positive version of any value. So x and -x have an absolute value of x.
Statement (1): The absolute value is 3, thus this is sufficient.
Statement (2): It says y^2=the square of the absolute value of -y; since we do not know y this is not sufficient. Since squaring any negative value produces a positive value which is the same as squaring that same values absolute value, this statement is true for any number.