{"id":"site-4324/zad/4337","paper_id":"site-4324","number":"4337","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2014,"month":null,"level":"rozszerzona","text":"Wykaż, że jeżeli a > b >= 1, to a / 2+a^3 < b / 2+b^3.","answer":null,"answer_text":null,"solution":null,"image":"img/site/4324/zad-4337.svg","solution_image":"img/site/4324/rozw-4337.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań · 2014 (rozszerzona)","subject_label":"Matematyka","category_label":"Zbiory zadań","text_html":"<p>Wykaż, że jeżeli a &gt; b &gt;= 1, to a / 2+a^3 &lt; b / 2+b^3.</p>","solutions":[{"source":"site","label":"matematykaszkolna.pl","kind":"image","image":"/img/site/4324/rozw-4337.svg"}]}