This question is much easier if you simplify the question before you attack the statements.

x-y>x+y --> -y>y
The question becomes is -y>y, which is only possible if y is negative. So the real question becomes "Is y<0?"

Makes it easier to assess the statements.

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I do questions like this in a weird way but it makes sense to me so I'll tell you about it. I think of it as if there are 96 things that need to get shipped. (I chose 96 because it's 12x8.) For 12 machines to ship all 96 in 8 days, that means each machine can ship one thing per day for each of the 8...

Basically, you're picking two from a group of 16. And the order doesn't make a difference. Whether it's the Mets playing the Yankees or the Yankees playing the Mets -- it's the same game, right? So it's a combinations question. Basically do 16x15/2x1 =120 If you don't understand why it's done this w...

Again, some translations are useful here. w + x < 0 just means that one or the other (or both) is/are negative. w-y>0 means w>y. So we can say, "If one or both of w and x is/are negative, is w greater than y?" (1) x+y<0 just means that one or the other (or both) of x and y is/are negative....

If you solve the original equation for x you get x = (-b)/a When would x be positive? Basically, as long as a and b are different signs. If b is negative and a is positive, we'd have (-)(-)/+, which is +/+ which is +. If b is positive and a is negative, we'd have (-)(+)/(-), which is -/-, which is +...

I'm sorry, their explanation makes no sense to me. The only way I can think to solve this problem takes a lot longer. If you'd like to repost this, maybe another person will have a better explanation. But mostly I'd like to say that in eight years I never saw a question like this. In fact, on my las...

I'll read the explanation, but the wording is odd. "How many of the four digit numbers" should be "how many four digit integers" and "have their sum as" should be "have the sum of 12" or "sum to 12." It's just weird. Please tell me where you got this...