If a + b > - c, is a > 2?
(1) a + b + c > 8
(2) - a + b + c < - 4
[spoiler]This is a yes/no question so you should plug in. For statement 1, if you plug in a = 3, b = 5, c = 4, then you get an answer of “yes,” but if a = 1, b = 6, c = 2, then you get an answer of “no,” so you should write down BCE. Now try plugging in for statement 2. Remember, when you’re plugging into a yes/no question that begins “If . . .”, you have to find numbers that satisfy both the statement and the “If” part of the question. So if a = 3 and b = 2, then c could be – 4 and you get an answer of “yes.” Go ahead and try to get an answer of no. If a = 2 and b = 2, then, according to the original “If” constraint, c has to be greater than – 4. But – 2 + 2 + – 3.9 = – 3.9, which is greater than – 4. No matter what number for a < 2 you try to plug in, it won’t satisfy both the statement and the constraint. Therefore, the answer has to be B.
[/spoiler]
[spoiler]Any better explanation possible, i thought of this one:
Given a+b+c>0 1 says the same thing, 2 says :
a>-b-c, using 2, -a < -b-c-4 or a>b+c+4
adding the two: 2a>4 or a>2
[/spoiler]
(1) a + b + c > 8
(2) - a + b + c < - 4
[spoiler]This is a yes/no question so you should plug in. For statement 1, if you plug in a = 3, b = 5, c = 4, then you get an answer of “yes,” but if a = 1, b = 6, c = 2, then you get an answer of “no,” so you should write down BCE. Now try plugging in for statement 2. Remember, when you’re plugging into a yes/no question that begins “If . . .”, you have to find numbers that satisfy both the statement and the “If” part of the question. So if a = 3 and b = 2, then c could be – 4 and you get an answer of “yes.” Go ahead and try to get an answer of no. If a = 2 and b = 2, then, according to the original “If” constraint, c has to be greater than – 4. But – 2 + 2 + – 3.9 = – 3.9, which is greater than – 4. No matter what number for a < 2 you try to plug in, it won’t satisfy both the statement and the constraint. Therefore, the answer has to be B.
[/spoiler]
[spoiler]Any better explanation possible, i thought of this one:
Given a+b+c>0 1 says the same thing, 2 says :
a>-b-c, using 2, -a < -b-c-4 or a>b+c+4
adding the two: 2a>4 or a>2
[/spoiler]
Charged up again to beat the beast 
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