{"id":18123,"date":"2026-05-02T22:15:42","date_gmt":"2026-05-02T16:15:42","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/quadratic-inequality-interval-13\/"},"modified":"2026-05-02T22:15:42","modified_gmt":"2026-05-02T16:15:42","slug":"quadratic-inequality-interval-13","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/quadratic-inequality-interval-13\/","title":{"rendered":"Quadratic Inequality Interval 13"},"content":{"rendered":"<p>Solve the inequality (x &#8211; (1))(x &#8211; (2)) &gt; 0.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>1 &lt; x &lt; 2<\/li>\n<li>x \u2264 1 or x \u2265 2<\/li>\n<li>x = 1 or x = 2<\/li>\n<li>x &lt; 1 or x &gt; 2<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705],"subject":[1425],"education_level":[1896],"class_list":["post-18123","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Start by finding the critical points, because these are the values where the product becomes zero. These points divide the number line into intervals. For a product of two first-degree factors with positive leading coefficient, the product is positive outside the two roots and negative between them. Here, The critical points are x=1 and x=2. A product of two linear factors is positive outside the roots and negative between them. Therefore the solution is x  2. Since the inequality is strict, the boundary points themselves are not included in the answer.","mcq_options":[{"right":"no","answer":"1 &lt; x &lt; 2"},{"right":"no","answer":"x \u2264 1 or x \u2265 2"},{"right":"no","answer":"x = 1 or x = 2"},{"right":"yes","answer":"x  2"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/18123","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=18123"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18123"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18123"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18123"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}