2x−y > 883 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice D is correct. All the tables in the choices have the same three values of x, 440 441 442 , , and , 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. 440 2 440 - 2883 Substituting for x in the given inequality yields ^ h y , or 880- 2883 880 - 2 y . Subtracting from both sides of this inequality yields y 3. - 1- Dividing both sides of this inequality by 1 yields y 3. Therefore, when =440 - 441 x , the corresponding value of y must be less than 3. Substituting for 2 441 - 2883 882- 2883 x in the given inequality yields ^ h y , or y . Subtracting 882 - 2 from both sides of this inequality yields y 1. Dividing both sides of this - 1- =441 inequality by 1 yields y 1. Therefore, when x , the corresponding value - 442 of y must be less than 1. Substituting for x in the given inequality yields 46 SAT PRACTICE TEST #5 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2 2 442 - 2883 884- 2883 884 ^ h y , or y . Subtracting from both sides of this - 2- - 1 inequality yields y 1. Dividing both sides of this inequality by 1 yields y 1. =442 Therefore, when x , the corresponding value of y must be less than 1. For =440 - the table in choice D, when x , the corresponding value of y is 4, which is - =441 - less than 3; when x , the corresponding value of y is 2, which is less - =442 than 1; when x , 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. =440 Choice A is incorrect. When x , the corresponding value of y in this table is - =440 0, which isn’t less than 3. Choice B is incorrect. When x , the - corresponding value of y in this table is 0, which isn’t less than 3. Choice C is =440 - incorrect. When x , the corresponding value of y in this table is 2, which - isn’t less than 3.
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