{"paper":{"id":"site-5051","subject":"matematyka","category":"zbiory","year":2018,"month":null,"level":"podstawowa","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":1,"source_label":"Matematyka · Zbiory zadań · 2018 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-5051/zad/5054","paper_id":"site-5051","number":"5054","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2018,"month":null,"level":"podstawowa","text":"Udowodnij, że dla dowolnych liczb dodatnich a, b prawdziwa jest nierówność 1/2a + 1/2b ≥ 2/a+b.","answer":null,"answer_text":null,"solution":null,"image":"img/site/5051/zad-5054.svg","solution_image":"img/site/5051/rozw-5054.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 · 2018 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}