{"id":"cb_practice_pdf:t5-math-m2-q19","source_id":"cb_practice_pdf","source_item_id":"t5-math-m2-q19","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-5","module_number":2,"position":19,"stem":"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?","stimulus":"","stimulus_html":null,"stem_html":"<p>2x−y &gt; 883 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?</p>","rationale_html":"<p>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.</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>x y 440 0 441 −2 442 −4</p>","ord":0},{"label":"B","content_html":"<p>x y 440 0 −2 442 441 −4</p>","ord":1},{"label":"C","content_html":"<p>x y 442 0 440 −2 441 −4</p>","ord":2},{"label":"D","content_html":"<p>x y 442 0 441 −2 440 −4</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}