{"id":21253,"date":"2026-05-25T22:27:02","date_gmt":"2026-05-25T16:27:02","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/solve-a-one-step-linear-inequality-after-simplifying-4\/"},"modified":"2026-05-25T22:27:02","modified_gmt":"2026-05-25T16:27:02","slug":"solve-a-one-step-linear-inequality-after-simplifying-4","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/solve-a-one-step-linear-inequality-after-simplifying-4\/","title":{"rendered":"Solve a one-step linear inequality after simplifying"},"content":{"rendered":"<p>Solve the inequality: 4x + 7 &gt; 55.<\/p>\n<ul class=\"quiz-options\">\n<li>x &gt; 11<\/li>\n<li>x &lt; 12<\/li>\n<li>x &gt; 12<\/li>\n<li>x &gt; 13<\/li>\n<li>x = 12<\/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-21253","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 4x &gt; 48. Because 4 is positive, dividing by 4 keeps the inequality direction unchanged. So the solution is x &gt; 12. 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 &gt; 12, which matches the calculation or reasoning shown.","mcq_options":[{"right":"no","answer":"x &gt; 11"},{"right":"no","answer":"x &lt; 12"},{"right":"yes","answer":"x &gt; 12"},{"right":"no","answer":"x &gt; 13"},{"right":"no","answer":"x = 12"}],"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\/21253","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=21253"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21253"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21253"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21253"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21253"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}