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• 16:52, 30 November 2024 Andrei.Horvat talk contribs created page Gazeta matematică 2014 (Created page with "== Gazeta Matematică 1/2013 == == Gazeta Matematică 11/2013 == '''E:14742 (Liliana Puț)''' ''a) Arătați că oricare ar fi numerele reale <math>a</math>, <math>b</math>, <math>c</math> avem''<math display="block">|a + b| + |a + c| \ge |b - c|.</math>''b) Demonstrați că pentru orice număr real <math>x</math> avem''<math display="block">|x + 1| + |x + 2| + |x + 3| + ... + |x + 2014| \ge 1007^2.</math>")