{"id":"cb_question_bank:a247ffbc-54a6-4040-8ac3-38192c14dea7","source_id":"cb_question_bank","source_item_id":"a247ffbc-54a6-4040-8ac3-38192c14dea7","external_id":null,"ibn":"04176-DC","question_id":"89541f9b","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.E.","skill":"Linear inequalities in one or two variables","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Which of the following ordered pairs x comma y satisfies the inequality 5 x minus 3 y is less than 4 ? Statement 1, 1 comma 1 Statement 2, 2 comma 5 Statement 3, 3 comma 2","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Which of the following ordered pairs <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e51e55f99082dcb026edf78d1919df3265e8496674bd5d564c8d2c7286d6abc0\" alt=\"x comma y\"></span></span> satisfies the inequality <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/bd3bbe07ca790084fce7f91f7b9e3b0b0d91582d56bcf91f8ef81ff91b7b1677\" alt=\"5 x minus 3 y is less than 4\"></span></span> ?</p><ol class=\"list_upper_roman\"><li class=\"list_paragraph \">\n              <span class=\"gen_Stem\">\n                <span class=\"math_expression \">\n                  <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a5ebd7f2eaeb16f9c824bdb9a1b24d8925d7cdf03701e0f4c776624d517c6ad3\" alt=\"Statement 1, 1 comma 1\"></span></span>\n              </span>\n            </li>\n            <li class=\"list_paragraph \">\n              <span class=\"gen_Stem\">\n                <span class=\"math_expression \">\n                  <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6b7371aaae5e3a3ff271ce07358ca0e666fae143c644387a5345a95d106b7f70\" alt=\"Statement 2, 2 comma 5\"></span></span>\n              </span>\n            </li>\n            <li class=\"list_paragraph \">\n              <span class=\"gen_Stem\">\n                <span class=\"math_expression \">\n                  <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/80d9f8160b199f86b9016694b5216f46d30703733855448ae8fd077fb64c8a38\" alt=\"Statement 3, 3 comma 2\"></span></span>\n              </span>\n            </li>\n          </ol><p></p>\n","rationale_html":"<p>Choice C is correct. Substituting <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9a19a4e5e5681b642441056d7d87fb301efaf391ed811a99a1b9d33a30b1b679\" alt=\"the ordered pair 1 comma 1\"></span> into the inequality gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/41e6d1f3ed1c97e5022a66ffef7391b80cfc9d84eec0be6db386f9eb6d233df4\" alt=\"5 times 1, minus, 3 times 1, is less than 4\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0e2806f119602f7260555260ecda07d94e68d0f305b7a65d5ccc9f370f82ec08\" alt=\"2 is less than 4\"></span>, which is a true statement. Substituting <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b4a94aec986d895f0b60998eb633f7e22ee01ea6588eb4619ecd5c1363a3dceb\" alt=\"the ordered pair 2 comma 5\"></span> into the inequality gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a164e2e9b70eeb3dce03b668fcc16272ce8789749a3adc515610af712467ca00\" alt=\"5 times 2, minus, 3 times 5, is less than 4\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/257f37af3e69dbbab372c9df92f2cf588be3d3ff6714cd32b4e19a9570f121d4\" alt=\"negative 5 is less than 4\"></span>, which is a true statement. Substituting <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e5f7e71dbdebd336532049c47818839093c3d5179d95c9f72520f8bd9f5e53c3\" alt=\"the ordered pair 3 comma 2\"></span> into the inequality gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3761e661238e4db0ac88cc4fe60371f7c4068b95e140b72c7559302b897738ed\" alt=\"5 times 3, minus, 3 times 2, is less than 4\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/eb344753a4e1def533afef29fc39aeb21c7cd389119af6f2fb04c74fb13a2657\" alt=\"9 is less than 4\"></span>, which is not a true statement. Therefore, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9a19a4e5e5681b642441056d7d87fb301efaf391ed811a99a1b9d33a30b1b679\" alt=\"the ordered pair 1 comma 1\"></span> and <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b4a94aec986d895f0b60998eb633f7e22ee01ea6588eb4619ecd5c1363a3dceb\" alt=\"the ordered pair 2 comma 5\"></span> are the only ordered pairs shown that satisfy the given inequality.</p><p>Choice A is incorrect because the ordered pair <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b4a94aec986d895f0b60998eb633f7e22ee01ea6588eb4619ecd5c1363a3dceb\" alt=\"2 comma 5\"></span> also satisfies the inequality. Choice B is incorrect because the ordered pair <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9a19a4e5e5681b642441056d7d87fb301efaf391ed811a99a1b9d33a30b1b679\" alt=\"1 comma 1\"></span> also satisfies the inequality. Choice D is incorrect because the ordered pair <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e5f7e71dbdebd336532049c47818839093c3d5179d95c9f72520f8bd9f5e53c3\" alt=\"3 comma 2\"></span> does not satisfy the inequality.</p><p></p>\n","correct_answer":["C"],"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":"<p class=\"choice_paragraph \">I only</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">II only</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">I and II only</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">I and III only</p>\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}}