In the xy plane, if 00 is a solution to the system of inequalities above, which of the following relationships between A and B must be true. So we have some inequalities. You know, we usually don't like working with inequalities, but no problem. We get them here and there. So let's let's work through this. So they tell us that the point 00 is a solution to the system.
It's a solution, meaning that if I plug in zero for y and zero for x into each of these equations, that must mean that it will result into true inequalities, we must get to true inequalities is 00 is a point that is a solution to the system. So let's try to do that if I plug in zero for x and zero for y into the first one, I should get zero is less than a. And the second one, if I plug in zero for y and zero for x, I will get the zero is greater than B. Okay, you're with me? Right, all I did was just plugged in zero here, zero here, zero here and zero there. Okay?
So now I have this relationship that a is greater than zero, and b is less than zero. So which of the answer choices follows that the most or makes the most sense, given what we've just found out? Well, it must be a write because if they're basically saying here that a is greater than zero, that means a is a positive number. So let's say maybe two, and b is less than zero. So it's a negative number, let's say negative four. So the only one that makes sense here of the answer choices is that a is greater than B, which is a