{"id":21180,"date":"2026-05-25T22:26:58","date_gmt":"2026-05-25T16:26:58","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/solve-a-one-step-linear-inequality-after-simplifying\/"},"modified":"2026-05-25T22:26:58","modified_gmt":"2026-05-25T16:26:58","slug":"solve-a-one-step-linear-inequality-after-simplifying","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/solve-a-one-step-linear-inequality-after-simplifying\/","title":{"rendered":"Solve a one-step linear inequality after simplifying"},"content":{"rendered":"<p>Solve the inequality: 3x + 4 \u2264 -2.<\/p>\n<ul class=\"quiz-options\">\n<li>x \u2264 -2<\/li>\n<li>x \u2264 -1<\/li>\n<li>x \u2265 -2<\/li>\n<li>x = -2<\/li>\n<li>x \u2264 -3<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2902,2714],"subject":[2750],"education_level":[1894],"class_list":["post-21180","mcq","type-mcq","status-publish","hentry","topic-algebraic-reasoning","topic-inequalities","subject-advanced-mathematics","education_level-grade-8"],"mcq_note":"Subtract the constant from both sides to get 3x \u2264 -6. Because 3 is positive, dividing by 3 keeps the inequality direction unchanged. So the solution is x \u2264 -2. Solve an inequality much like an equation: isolate x step by step. Since the division here is by a positive number, the inequality sign stays in the same direction. The final answer represents a range of values, not just one value. The correct answer is x \u2264 -2, which matches the calculation or reasoning shown.","mcq_options":[{"right":"yes","answer":"x \u2264 -2"},{"right":"no","answer":"x \u2264 -1"},{"right":"no","answer":"x \u2265 -2"},{"right":"no","answer":"x = -2"},{"right":"no","answer":"x \u2264 -3"}],"multi_answers":"no","subject_terms":[{"id":2750,"title":"Advanced Mathematics","slug":"advanced-mathematics"}],"topic_terms":[{"id":2902,"title":"Algebraic Reasoning","slug":"algebraic-reasoning"},{"id":2714,"title":"Inequalities","slug":"inequalities"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/21180","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=21180"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21180"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21180"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21180"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}