Is |a| > |b|?
The question asks whether a is further from 0 than b.
(1) b < -a --> b + a < 0. The sum of two numbers is less than 0. This is clearly insufficient to say which one is further from 0. Not sufficient.
(2) a < 0. Also insufficient.
(1)+(2) The sum of a and b is less than 0 and a is negative. How can we say which one is further from 0? If a = -1 and b = -2, then b is further but if a = -2 and b = -1, then a is further. Not sufficient.
Answer: E.
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The question asks whether a is further from 0 than b.
(1) b < -a --> b + a < 0. The sum of two numbers is less than 0. This is clearly insufficient to say which one is further from 0. Not sufficient.
(2) a < 0. Also insufficient.
(1)+(2) The sum of a and b is less than 0 and a is negative. How can we say which one is further from 0? If a = -1 and b = -2, then b is further but if a = -2 and b = -1, then a is further. Not sufficient.
Answer: E.
...
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