{"id":"cb_practice_pdf:t4-math-m2-q5","source_id":"cb_practice_pdf","source_item_id":"t4-math-m2-q5","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-4","module_number":2,"position":5,"stem":"(8, 2) The point in the xy-plane is a solution to which of the following systems of inequalities?","stimulus":"","stimulus_html":null,"stem_html":"<p>(8, 2) The point in the xy-plane is a solution to which of the following systems of inequalities?</p>","rationale_html":"<p>( ) Choice A is correct. The given point, 8, 2, is located in the first quadrant in the xy-plane. The system of inequalities in choice A represents all the points in the ( ) first quadrant in the xy-plane. Therefore, 8, 2 is a solution to the system of inequalities in choice A. &gt; Alternate approach: Substituting 8 for x in the first inequality in choice A, x 0, &gt; yields 8 0, which is true. Substituting 2 for y in the second inequality in &gt; &gt; choice A, y 0, yields 2 0, which is true. Since the coordinates of the ( ) &gt; &gt; ( ) point 8, 2 make the inequalities x 0 and y 0 true, the point 8, 2 is a &gt; &gt; solution to the system of inequalities consisting of x 0 and y 0. Choice B is incorrect. This system of inequalities represents all the points in the fourth quadrant, not the first quadrant, in the xy-plane. Choice C is incorrect. This system of inequalities represents all the points in the second quadrant, not the first quadrant, in the xy-plane. Choice D is incorrect. This system of inequalities represents all the points in the third quadrant, not the first quadrant, in the xy-plane.</p>","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>x &gt; 0 y &gt; 0</p>","ord":0},{"label":"B","content_html":"<p>x &gt; 0 y &lt; 0</p>","ord":1},{"label":"C","content_html":"<p>x &lt; 0 y &gt; 0</p>","ord":2},{"label":"D","content_html":"<p>x &lt; 0 y &lt; 0</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}}