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1 is insufficent as p=-q then p+q = 0
2 is insufficent

taking them together

P is positive and q is negative (statement 1)
q= |P| (statement 2)
given 1 and 2 we can conclude that P is equal to negative q, therefor P+q is never greater than PQ (even if P and q were 0s)

The correct response is (C). Statement (1) alone establishes that pq < 0, because the product of a positive number and a negative number is always negative. If you subsetitute integers for p and q, the answer to the question is always "yes." However, if you substitute fractional values (between -1 and 1) for p and q, in some cases the answer to the question is "no." For example, if p = 1/4 and q = -1/2 , p + q = -1/4 while pq = -1/8 , and therefore p + q < pq. Thus, statement (1) alone is insufficient to answer the question.

Statement (2) alone is also insufficient to answer the question. Again, the answer to the question depends on the values of p and q. For example, If p = 3 and q = -3, then p + q > pq. But if p = 3 and q = 3, then is p + q < pq.

Statements (1) and (2) together are sufficient to answer the question. Together, statements (1) and (2) establish that q is the same non-zero number as p, except negative instead of positive. Therefore, p + q will always equal 0, while pq will always be negative. Accordingly, the answer to the question will always be "yes."

The correct response is (C). Statement (1) alone establishes that pq < 0, because the product of a positive number and a negative number is always negative. If you subsetitute integers for p and q, the answer to the question is always "yes." However, if you substitute fractional values (between -1 and 1) for p and q, in some cases the answer to the question is "no." For example, if p = 1/4 and q = -1/2 , p + q = -1/4 while pq = -1/8 , and therefore p + q < pq. Thus, statement (1) alone is insufficient to answer the question.

Statement (2) alone is also insufficient to answer the question. Again, the answer to the question depends on the values of p and q. For example, If p = 3 and q = -3, then p + q > pq. But if p = 3 and q = 3, then is p + q < pq.

Statements (1) and (2) together are sufficient to answer the question. Together, statements (1) and (2) establish that q is the same non-zero number as p, except negative instead of positive. Therefore, p + q will always equal 0, while pq will always be negative. Accordingly, the answer to the question will always be "yes."

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