OG详解-OG5 数学2 Q19

Choice D is correct. All the tables in the choices have the same three values of x, 440, 441, and 442, so each of the three values of x can be substituted in the given inequality to compare the corresponding values of y in each of the tables. Substituting 440 for x in the given inequality yields 2(440)-y > 883, or 880-y > 883. Subtracting 880 from both sides of this inequality yields -y > 3. Dividing both sides of this inequality by -1 yields y< -3. Therefore, when x = 440, the corresponding value of y must be less than -3. Substituting 441 for x in the given inequality yields 2(441)-y > 883, or 882-y > 883. Subtracting 882 from both sides of this inequality yields -y > 1. Dividing both sides of this inequality by -1 yields y< -1. Therefore, when x = 441, the corresponding value of y must be less than -1. Substituting 442 for x in the given inequality yields 2(442)-y>883, or 884-y>883. Subtracting 884 from both sides of this inequality yields -y> -1. Dividing both sides of this inequality by -1yields y< 1. Therefore, when x = 442, the corresponding value of y must be less than 1. For the table in choice D, when x = 440, the corresponding value of y is -4, which is less than -3 ; when x = 441, the corresponding value of y is -2, which is less than -1; when x = 442, the corresponding value of y is 0, which is less than 1. Therefore, the table in choice D gives values of x and their corresponding values of y that are all solutions to the given inequality.
Choice A is incorrect. When x = 440, the corresponding value of y in this table is 0, which isn’t less than -3. Choice B is incorrect. When x = 440, the corresponding value of y in this table is 0, which isn’t less than -3. Choice C is incorrect. When x = 440, the corresponding value of y in this table is -2, which isn’t less than -3.