Since (0, 0) is a solution to the system of inequalities,substituting 0 for x and 0 for y in the given system must result in two true inequalities. After this substitution, y<−x+a becomes 0<a, and y>x+b becomes 0>b. Hence, a is positive and b is negative. Therefore, a>b. Choice B is incorrect because b > a cannot be true if b is negative and a is positive. Choice C is incorrect because it is possible to find an example where (0,0) is a solution to the system, but |a|<|b|; for example, if a=6 and b=−7. Choice D is incorrect because the equation a = −b could be true, butdoesn’t have to be true; for example, if a=1 and b=−2.