{"id":18470,"date":"2026-05-03T04:37:46","date_gmt":"2026-05-02T22:37:46","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/absolute-value-equation-concept-1\/"},"modified":"2026-05-03T04:37:46","modified_gmt":"2026-05-02T22:37:46","slug":"absolute-value-equation-concept-1","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/absolute-value-equation-concept-1\/","title":{"rendered":"Absolute Value Equation Concept 1"},"content":{"rendered":"<p>Solve |x| = 3 over the real numbers.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>no real solution<\/li>\n<li>x = 3 only<\/li>\n<li>x = 3 or x = -3<\/li>\n<li>x = -3 only<\/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-18470","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Absolute value measures distance from zero on the number line. So |x| = 3 means x is 3 units away from 0. There are two numbers at that distance: 3 on the right side and -3 on the left side. That is why both signs must be considered. Therefore the solution is x = 3 or x = -3.","mcq_options":[{"right":"no","answer":"no real solution"},{"right":"no","answer":"x = 3 only"},{"right":"yes","answer":"x = 3 or x = -3"},{"right":"no","answer":"x = -3 only"}],"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\/18470","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=18470"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18470"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18470"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18470"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18470"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}