OG详解-OG9 数学2 Q60

Choice D is correct. All the tables in the choices have the same three values of x, 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 3 for x in the given inequality yields y＞13(3)-18 , or y>21. Therefore, when x=3 ,  the corresponding value of y is greater than 21. Substituting 5 for x in the given inequality yields y＞13(5)-18, or y>47. Therefore, when x=5, the corresponding value of y is greater than 47. Substituting 8 for x in the given inequality yields y＞13(8)-18, or y>86. Therefore, when x=8 , the corresponding value of y is greater than 86. For the table in choice D, when x=3, the corresponding value of y is 26, which is greater than 21; when x=5, the corresponding value of y is 52, which is greater than 47; when x=8, the corresponding value of y is 91, which is greater than 86. 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. In the table for choice A, when x=3, the corresponding value of y is 21, which is not greater than 21; when x=5, the corresponding value of y is 47, which is not greater than 47; when x=8, the corresponding value of yis 86, which is not greater than 86. Choice B is incorrect. In the table for choice B, when x=5, the corresponding value of y is 42, which is not greater than 47; when x=8, the corresponding value of y is 86, which is not greater than 86. Choice C is incorrect. In the table for choice C, when x=3, the corresponding value of y is 16, which is not greater than 21; when x=5, the corresponding value of y is 42, which is not greater than 47; when x=8, the corresponding value of yis 81, which is not greater than 86.