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If a,b, and c are integers, is a – b + c greater than a + b – c ? (1) b is negative. (2) c is positive.

If we transform the inequality, we can see that the question asks us whether b<c. (transformation: a – b + c > a + b – c <=> - b+c > b-c <=> c>b)

St 1. doesn’t help us to answer the question – c could be anything, and thus we can conclude nothing about the inequality. You can construct examples if you like. Similarly, St 2. is also insufficient.

If a,b, and c are integers, is a – b + c greater than a + b – c ? (1) b is negative. (2) c is positive.

If we transform the inequality, we can see that the question asks us whether b<c. (transformation: a – b + c > a + b – c <=> - b+c > b-c <=> c>b)

St 1. doesn’t help us to answer the question – c could be anything, and thus we can conclude nothing about the inequality. You can construct examples if you like. Similarly, St 2. is also insufficient.

Id a,b, and c are integers, is a-b+c > a+b-c ? 1) b is negative. 2) c is positive.

c>b, it is from the question after doing subtractions and additions, now my question is statement 2 is sufficient to answer the question. but the answer is not b. any one please explain.

Re: Number Properties [#permalink]
10 Sep 2011, 10:39

Is a - b + c > a + b - c => Is c > b ?

Using statement (1): c could still be greater or lesser than b even if b is negative. Insufficient. Using statement (2): c could still be greater of lesser than b even if c is positive. Insufficient.

Combining (1) and (2): If b is negative and c is positive then c is definitely greater than b. Sufficient.

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