{"id":"cb_question_bank:04f1c762-1dd2-4d41-887f-f32a73c76811","source_id":"cb_question_bank","source_item_id":"04f1c762-1dd2-4d41-887f-f32a73c76811","external_id":null,"ibn":"04095-DC","question_id":"3c95093c","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.B.","skill":"Nonlinear equations in one variable and systems of equations in two variables","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Which of the following inequalities is equivalent to the inequality above?","stimulus":"6 x minus 9 y, is greater than 12","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \">\n          <span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1b28c55029e00b5d9eef22a1bc9df57c330842df92e63cd0eecd15cf3aac3c2e\" alt=\"6 x minus 9 y, is greater than 12\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">Which of the following inequalities is equivalent to the inequality above?</p>\n","rationale_html":"<p>Choice B is correct. Both sides of the given inequality can be divided by 3 to yield <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9fd8347e0a91af20a9120df6c1e6ff3e15f6e3dcee257ddb06003b5f6d428a2e\" alt=\"2 x minus 3 y, is greater than 4\"></span>.</p><p>Choices A, C, and D are incorrect because they are not equivalent to (do not have the same solution set as) the given inequality. For example, the ordered pair <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5c28616fdbda15740335acadc4a94b3c8da2a43cd1b984d1d160afc51bc2c104\" alt=\"0 comma negative 1 point 5\"></span> is a solution to the given inequality, but it is not a solution to any of the inequalities in choices A, C, or D.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.628000+00:00","source_updated_at":"2023-08-02T20:25:59.628000+00:00","options":[{"label":"A","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/86e10d106d1f02750a5ec14a5cb3d54b69612a592801afb5d3785378c09715ec\" alt=\"x minus y, is greater than 2\"></span></span>\n","ord":0},{"label":"B","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9fd8347e0a91af20a9120df6c1e6ff3e15f6e3dcee257ddb06003b5f6d428a2e\" alt=\"2 x minus 3 y, is greater than 4\"></span></span>\n","ord":1},{"label":"C","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5e38c7f1d63f7b7ab8ee84b7c8482138c7a661b471d5cc0bda91b161aa11dc90\" alt=\"3 x minus 2 y, is greater than 4\"></span></span>\n","ord":2},{"label":"D","content_html":"<span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/12a029cf97e4c9eba027b5ae89f216df9815779f19e154eec9e92befa9c85afe\" alt=\"3 y minus 2 x, is greater than 2\"></span></span>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}