خاصیت اول نامساوی ها
خاصیت مخالف بودن دو عدد
خاصیت دوم نامساوی ها
خاصیت تعدی
![خواص نامساوی ها - پیمان گردلو](data:image/png;base64,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)
![](data:image/png;base64,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)
تمرین
خاصیت سوم نامساوی ها
خاصیت بازتابی
خاصیت چهارم نامساوی ها
خاصیت پادتقارن
خاصیت پنجم نامساوی ها
میتوان به طرفین نامساوی، عددی را اضافه یا کم كرد:
![خواص نامساوی ها - پیمان گردلو](data:image/png;base64,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)
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)
خاصیت ششم نامساوی ها
نامساویهای همجهت را میتوان عضو به عضو با هم جمع كرد:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXAAAACKCAIAAAA8BYajAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAACZuSURBVBgZ7cEJmF/nXdj77+99zzn/dfZFGm3WYsnxEsmW4+2SFULIWsBZIH3aJJQ+oRvtkxLoU7hPSbm0KaTtk6bQcBNCwr3Zg7lZDEkgCdhJHcdg5EWxvGjfRiNp9v96znnf39UYO140o5mR5v/XzOh8PqKqZDKZzFIwZDKZzBIxZDKZzBIxZDKZzBIxZDKZzBIxZDKZzBIxZDKZzBIJyFwZvGqqqCJcTiIEcg6ZVSkgs9qpMhUzEavzOEW4nIwQGrpzdERCZtURVSWzeimcrulYQ60AgnCZKaAe+vOmv0BmlQnIrGpTsU401RoRlgcBxMBYwxcCKYVCZhUxZFa16SbnCMuLgFeZTpTM6mLIrGqxV0GYjyqqtJMIicMrmdUkILN6KXhAuDBjyBcQIUmIGyAsiSgCIW4yKwEls9oEZFY1YR6FIlMTeu+3pF5jy3bddZM0mjjHpYgitUYe30ej5q7bJS41ZK4MhswVrFDkvr/St7xcfuW9vP+98tOvNL/xvrTZTIwVLooIqvoXd8u7f5Y33i6f/URcKKQgZK4MhszqoS71ceqdU5R5BSEnj/OhD/DGO9P/+3Pud/9Ar9qqn/pf4R9+pJnLxSBclCRh+zX6ljs1iUHIXFECMiuZU5pek1QVMSJNJVUikVBQtBwKczOG736Lf/krzTe8LZcmEoTsvFl/9tV886uFf/RP6e7TNOFHVD2BwYuoMjdVcjm5bhfVSYpl1JO5ogRkViCFxNNMtenlbEo9EQ+VmmumoFiDCN0lc10XwpziJq/6STq785UpvOeca6+XHdcyMmySFOE5HgmHv1KqPzS96V+4/FpRxCtzUCWOSRT1IGSuKAGZFUVVndJwMp5yusZEzdcTTRwqgAooCDilnvrtZSsCylx6+lGP95yjyjnGyLZrxvoGIuc6QHmaCM2u6xn9s4G/+el672urV/2ztLxBVMQDSibzLENmJdFqykhDHh31D59yR8b9VMOnHhFEEEQQQUAEYQG8Q5W/F0YcPszwieRNdxbzubL3yrNENShf07jxE8M7Pxb7sb4Hf6bn4X8XTv3QW1QEhEzmaQGZFcIr1UQOT+vRKddIMYIRnIInNARGrcEIf897AiNGWLh8gS98SrZsT97ydq03BJTnUw0ddO6q7PxoMr6nePQzvQ++Le57xdT2f5+Wt0iKKJlMQGYlSL2ebnBwwo/V1asEhtRTsORykjdaDqUcmd6isQYFAx5qTY0sqixEqcT998j//nbj9z5pA5uLY2VWXiOP67ppaudNk81f6Tz5uYH7Xpf0vGxi+++68kZRJXNlC8gsew3H2QZPjvvphiriFVHtyclQ2Qx2SM5oJAQiRni+zoIAyvyiiJPH+KP/NfGrv9Uc2DjYrCsXIjxNnBFX1SCvplNUyWQgILO8NR3DdQ6M+2qsHnGqxZDBouzosXmjgVEjAqq8mIAK84pyTE/xof+Lt/2j5m2v6K9OSxiqMcQxLyKgRmIhnNpbPvqZwpl7074bxm76TNy1UzyiSuaKF5BZxhLlyLTun/BxqogodBe4useuK0qIR4zw90Q4jzCvMKJS4ZO/r299K29885o6Pt/jDx2WA0+43bcLavgRkYYlGn+gcPwL3aP3xj23T9z4sbjnevEYByjPI2AAQQRjyFw5AjLLlSrjTQ5P+kaKAVXpyelL+mxfpBHnCJfGGOo1fv1f6f33yunjfPGzqgjIY4+m//i9o3e8eqBZ5+95kaiyt3DovxfHH016XzN+0+fjzq0GMU6ZjXoa0+qcNKqSNBWUzJUhILNcjcW6f4JqooIAfXl//YDtiTAiIFwaEVT5+Ed036NmaD0P7UGVc5yjp8+++nU93gnPUpDxvVE0MPryb/uwUzzWKSizEeHrX9VvfEW2X8Ppkdz/+GD6c78w0dPb472SWe1EVcksJwqCVhOemODElHMqQEekOwdsfwFBWDCFg5PeqQizUKUyjYiK8COqWEuxZFSV51F1BEa8QZX5jJ4BNF/EpdSq0tefRLlQledTJR/ohrIxQmbVCMgsM4I2vBycdCenNPWIoRTo1b12oAAIi6TMSYTuXgThhRRcqryQiMUBygIMDmFEVDmnr580jVSVF1JQMqtNQGY5URBkpKYjNVIEIRTd2GXWFkBBWBSBQCT2igizcSmt4FIcz6ecRyEQhMyqYsgsLzqd6MlpX09QJTCsKclVnRIaQYTFy1s8y1TOIkJmNTFklhPn5UxNJ5vqFFVKAVu6bU7ECBenJydW8KosJ041MtqVM2RWl4DMsuFVK4mcqmrsRJXI6roO0xNhhIuWCxgqmtN1n3hVFREuMwXRnGVt0YSGzCoTkFkuNPEM13QqVq8iRvsLsq5shEtVjogCU4l94tQpl5cR8oF0hFhDZvUJyCwP3ms9lTNVbToBSoFs7jJliwiXLjL05g2ZTIsZMsuDQ4ZrOhWrU7VG+wvSGWEMmcwKYsgsA6pUnYzWSbyKUgpYV5acJZNZWQIyl596GKky2VAgMNJbkM5IrNBwGjtxSuZFAiGymrNCZjkJyFxuqlQdYw0fewQpWNYUJbKcrBD7ODIVI6mSeY5ATcPElwtB1F/ACpllIiBzeSkicrrixuuqKpGlt0BHyIkKeTuypnTKiidzHgXvzen6+uFK/7oyRsgsBwGZy0rRRsp4k6bDCIVAB0om9hLI2EDxpCBgyJxHwBq/pnjiRCWqxJ2dOTLLgSFzWYnIRFPHGqoqVrQrkt6c1FPfGY0LCkJmTsaI64gmKgmZZSIgc1k1nI41aKQI5C29RYmMxC4NTAJCOwgIz/AsLwLCDAVlNqFpxt6BJbMMBGQuq5rjTN2DGEMxlP4iIpwjzMVXq1KriSrd3T6KBAwoF8koAXETrwSBBBEkoFwSD1Qq4px0dXEJrKolbqJIGGAtxLyYgJJZNgyZy8epTjSpxShY0a6cRIgRlLn4u+/u3L37JYODu9as2fVzP7f1kUcCSLlItpb6qb/5cO3zt1T+3931b77VDf8VBCBcrDjmvvvKv/mba2+99dr3va8bEi5SMF2fnv7er1Q/u7vyuZvq33mXn3gUQjLLmyFz+aTKeM2nKgo5Q09JrEWYi/vWtzp+7dfWvfvdI3fddfCd75z48pe73vWuqw4cMKAsmjjVxt6PR/UTuR/7L9HN79LJg43v/oY/exgCLpJ6T7ns8nn27csVi8pFkrpL3Z7/FplC/tUfjna8wQ3vadz3Wzp1GgIyy1hA5nJRbXgqiTovVijl6AoJRLwyK+/tX/xF6VOf2n/rrTHInXdO9PZu+v3f77/rro5f+7VJsMxCQcEwC9OoDlPuKLz0P2NLhrdNRj2l7/8PHz9l2AYJzxHIQwIp85B8XnfurOVy+lu/tVaVC1LwYJlFWBv/u+L6l+WvuhMCd9VPNonyh7/hG4dt5zpIySxXhsxlkigTDW2knGOMdudNaIS51evy7ndP3HSTgwAsyC/+4lljOH68GwyzqVbt7/xO/6lTKbNwpVJf79a3YQUqhmbUeaOUA1PcAp7nmKRRS/Z/VqsnoAghCBciYOLYqAoXoocPR7/zO31TU45ZJL3d2wsb3wANmLImH3Vsl461prgRUjLLmCFzeWjqGa1p7FAhstKbM5FwAaWSXn99MwyFZ0hvr0aR27z5GDhmoXEsX/lKx+SkB+F8YjEReDAp4WjjUP6mf2W6t0PCc5QoPzV9rHLvv2s+8l918iQaQo5LpWfPBn/+56VGwzMLlaCAEVCI6hpPp6O53e+T8jpIyCxjhszloEqqWkvVqQgUAgoBIsxHeI5/4IH8+vXxT/0UYJmNCIUC1jI3D6Emjcl9H1979M8Zeh1YUJ6joTHdN/06L/9gElemvvsv4h98wI/vgxLkQLhYQaDlsoowBw8KkW+MNfZ8qKdyxPTcBgaUzDIWkLkcvMpkU+OUcwTtiEzeKgiL8Ud/1POe9zxx/fUOQlCe4UGZobmcCUOiyIEDZYblBYL66CF54uPR8L1aG69/658U/o//aYauh5jnqGW63LFJX/YfkspRv/9PG/f/hu3eEez4edu7E7HQYKE8KDM8+DD0Ig4MzwhAeZYnagzvMU/+Ye7U37i4Up/+pfztHzJ9GyEms1wFZNpPUZhsaMMJEFq6InIWVURYGPfJTw729jZ/9VcFAlCeoXv35u+/vxAEnJOmZng4/JM/6e/vD7wnTWXXrtFbbgEsz0gLfVdxxweZeiJ56Pfk0LfjA/9Pfu0HEV5IhERIc+V13Pj+dMc73eGvJA9/OC0OBpvvtGtehjjmp/fdV/zhD/NhqEGghw7ljh3Lf/7z/Z2d1nvSlFe+8vSOHREITzPExaFdDP2+jtyfPvwRf+Kh9NjXor5/AzEXolCDEpnLISDTdgpeqTtSj1cKgZRDAURYGP/gg6W7725++MMncrkcCM/RRx8tfOITA1GkInjPkSO5L31pMJ833tNsmne968wttygEoDzDIS7fdUNj929Mjz/ZN7lP3ZQEHeB4MYUUYlvcaLa9NU3OJvs+K/l1dvAWhAXQ++4rf/GL3YWCGkOlYg4eDL/whQFrjSrNpgwNHduxIwDLc1KgsOZVR1/W0zXydj/9FFpHDHjm9BgcgldDmUzbBWTaTqGSaCPBKwrlnBRDBWFB/OHD+Y98pOs3f3Pfxo29zFAQnmF+/ufH3/GOcUBEa7XgbW/b+NGPPrllS845BURCZigvVu8qDUYDO33lEDYEZRahx/qJg8nhr+qp+2zvNYU3/X+mvAVJWRDzb//tmfe97zRgrd+zp/Qf/2Pvxz52eHAwdI5zjOlkdpV1PdfE3ZuxBcRCypym4EE4CyG8Egpk2isg03YiTMVad6oq1tARkQsEhPn506eD3/u9vl/+5fGdO7vBgz9xIh+G8eCg4WkixlqepmlqkkScM2CsVV7MQAQpJJwjgk/shp8QKUOTF8il2GTq8ca+T+fHHrd9O4Pbf9t0XwdNSDiPCCKIKC9kjIDwNBFJEhExYKzlPCFYSCAFY1AJbDB0G0SQMKfDMAkRHIQNcB0ImTYKyLSZ4qGW0HSoULCULYEI89Ph4fC979143XWNWs1+/etdxjA6Gtx1V/TBDw4PDrJIZrJ+unx2n/RfbwpXgTt79vsaFga3/TykvIDEow9N7f/Twvje0sArwpd/SDo2g4cKs3Pgvcd7AQcRKIvhMPXJJ/PVE0H/TURD0Dx6/BuDa24OrvopqHMhQ/ASeAqasA+GoJdMGwVk2k0TT8ORekCLoZRywvz0+PHwPe/Z9O1vd9x9d9fv/u4anvUzP3Ni8+YY8pzHe6nXcU6ZRTBZPRnc8346N4abfkr6dpSJCy/91+R7IOY5Jm5U3A8/1tl9Q3jDL0lpC9Shzuw0SeSuu3r/+I/74pi7717b35++5z2jW7fmOU+aSqUi3nM+Rzg9/rDe+9vBwM5g42tcz+Z1xNHO92EiSJmThwF4CQzDBJyFUegl00aiqmTaSOFMXR8f86N1VHVDl7lp0IQ8xyuHp5L1pQO5oA6GZ9VqcvKkMUZF+BFVurvp7fXMxjlGRszAgAtDYRaitbrGdYyTKC+5TsRAygupV1wqYQc4iEGYm/d68mQwNSWFgk9TcY5Nm5Ji0XCeZpPRUbNmjbNWeDFB0VpVk4YYT74oUQcoeF7MV5PSmfq2zZ0WPBhwcA88xoxr4eWQI9MuAZn2Emg6rceoEhjyhoBZKS9ULOrVV6fMQpiDtaxb50CYnUqxJMUyKCgopJxHjMHkoAkKwgUZIxs2pLyAYTa5HOvWeRBmoYhIqVPoBAUFxzwcGGZYWAcHoA6nYBpyZNolINNeCg1PqpyTs5RChBcTUBFmISyacCGO+SkoiyAsAYWU+SkioCAgPGMNlKEJk3AG+sm0iyHTXg4aDqcghFa68+KV5xMhMDZ1ISiZ+SQuiowFy3NKsIYZKZyGhEy7GDLt1Yi11lAFUQIjBSsiPJ9AMTTTSRczlMycvKqpxF3FUHiBALrBgkIFlEy7BGTaRkFInDZS9SoIoWAF4cW6I05U+09V3UBhxJoUlMyLSerDkdp6obsr4oUM9EAEMdShBhGZtgjItIsKAk5pelBCq7kAYzifNQyVOFMbPF4ph7YpODIvpGoTn8+ZYn8JEc5ThBxUoAIpmXYJyLSLMCNWEodCYCiEgoJwvtAwVJamKzWSkuPiKAirVCDkA3KWOQQQgEADGmTaJSDTaqqKiKDg1TccDkSwRjpzwtwE8pa85aIoJBBxhcpDCAIOpsm0iyHTMqo4rwjCDIHYmemmKihYIW/ECq0hzHBcoQIQUDCgZNolINMaqpoiRysEhjUFcgYB56kneA9KIBoaNQitIqBcoZTnGDLtEpBpAVVqqRyp+CMT6j3hWrO2KCI4JVbOsUZDK0YABWHpKXgIuEIlUAWFCApk2sWQaQGBSsyBcT+daMPrcI1qooBTmg6PWENoxAGCepQlJ2DAcoWqQwwCOSiSaRdDpgUUrGg5lMBgREam/WTCOc2U1KGKgchIkjDWIAFVVJWlpCBcuaahwYwSFMm0iyHTAgLdBTZ1mVA4J/Z6qqrVWGOnzqtAYAgMk019asI/Oe7Hm5oqyhISEK5QCqfBg4EusGTaxZBpBSEQ6c5RjkRAkfG6jjY09orBgBW86mTMmZoemPAHJ3zdCcpSU65EDTgFDiz0Q55MuxgyLdOdk7UdYkGg6fRUVadiQBAQYqfVFKckXqoJTllqBoQr0SgMM6MTBsi0kSHTMhbtjCjmUFGvTMRaib2oWlG81FJtpB6VQLQzT86oCEtKuCJ48DANMSgz9kMDQhiEMpk2Csi0kPTn6Mkz3VQv0nTqPKpiRTy+nkrToVAIGCxIIRAyi+bhJDwBo7AVboZROAYBRDAIZTJtFJBpJSOUI6zBeRBJPIKgOC8enHJOd146c0bIXASFU/Ak1KELUjgA0+ChAwaZcRwUhiAg02KGTCsZZKBk8laYISAKXki9OBUgMjpYkHJA5qIY6IAQDFTgFByDGAQ2QS88DvfAD2CcTOsZMq1khA6rxZBzVBEBQRQveEVVO3PSkzeGzMURKEEeLMRwEM6AwACsg8PwAJyF03AAGqBkWsmQaSURvKcUiRW8co4ICAKKGkN3XrpzIGQuVhFCZtThICSQh7VwFh6EKQigAHlmCJlWMmRazIr0l6QQoiCCMEMVo1oOZaAo3pO5BAWwzIghhgByMA17YQwMdMOtcB3kyLRYQKbFjNGOQEOLKj+iqsbQlaMnJ8aQuQQChhkGHDNSGIUmM7rgJtgGEZnWC8i0mEDBSE5UQUE4RxXNWwaKRshcogjy4EF5RsqMFHphN1wDQqYtDJl2kFLOGFGvnOM9Bsqh6c0RCplLYyACZYaAYUYMQ3AHXA0GhExbGDItJ9bQVSQU9aoKiAZWugtiUITMpVEwzBAwzHDQD3fAZgjJtFFApvUMdISEAXEKyjk5Q2+ByBoySyAPwgwPCayHO2CITNsFZFpPhJwRI3gPFgP5gLxVwzlC5pIoOFBIwcMQvBwGyVwOhkxbWDRnRVBAhMgSiRgRMpfKQA9E4GAdvBIGyVwmAZn2UO0uyNmapl6tIKBKZolsAwM12A5dZC6fgExbREYG8hw1NJyGlnLeiICQWQoFuI7MMhCQaQtBunOs77QTTSmFDBTJW64o9ZRKQuzwiirLmQiBIR/QERIYMgsnqkpmHinEkIJyKRQHiRII5wRCCxgIIQfCspF6ztRpumYxmCgEFSspy5uKpC6qJF2J7+yKbE+ezAKJqpKZk4PTqpNNZxJvlEslPENpCQM5m4Y2gAHoYhlwyrFpcvbsQPFkIAkYEJY7ZYbWkvJIbUNHVOwvkFkIUVUys2vAkalmNN7sT3zBY1WF5U3EG0lKdrqvMBLZXhjisvLKcJVARgaLwyIKhhXGxT53Ynprb77QlSMzr4DM7BLl6FijdLa+AUFAUBFluROvuakkV/flodLBghVYy+VTS0h8bajjlAhgWHlsZJoDxZNjja3lSKyQuTBDZnYjU81otL7eiBpUUFYIQY1okuZHqpsTPwZ1Lp9qQmc4ZsSBsFLZYjAtVOopmXkZMrNIUp0ea6wBYWUyRptpcarZCWe5TLzSdGk+rIOwkhnRgq00UzLzMmRmMdVIo8TnRZSVS6imXV4b4LkcFBzekLLiqZHUKZl5GTKziBMXqQqLYY1YQxuISGDlHC5IhNgVvKbguUxEERZFaR9lwRRVJTMvw+oVJ/7QcG18OmHRnAcVFuX02drEVCxCS4mQJH54pNpoJiLC3ARVFUVBuVip00PDtdGpmNarNth/Iqg1aINmzMGTwWSVNpiqJvtPVOPEcwUwrF7T9fTPvn/qyWMVWkwE0D17T+8/NGFEaCVjpFqLH9hz6uxo3VpardZIv37/qccOT9NyemrUfuV7hZFxC0qLTVTN3d/PHzgRgtJiR07Vv/zdk5PVhCuAYVVTUNpEAQGhDVRpF1FEaQcBlPZQUKVtVLlCGBZGx57UE/ejnhVFQGgTAaFNRGgbAaFNRGgPARGEdhAQYSXS2hk9di+uyYIFzEN19HH/+Of13v8kL/vXdv3trCSCGDAsmsWAQUVYCEFVQVSMCmqEllGDioAgogY1wtxELQRguGgCIojhoqgxKgEEYJiHYiwzDIS0nIAgBgIQ5iEYo8JFEgMCwooTT6Vfer0M3WZufb9c9RoJiswnYG46ccA/8gn/w8/K5FGc4ipaO41LQVn2xEBNUU8ySa2ijgWzwinT9EFDjXgWQARVUGeSSjDdFE/rWIOtqYJpjIdTkzguSJFTSF4JQFkkMWhNVT3NKWo1dSySBJVE3ClsQxEuSIzXekkZojFGra5OaBkxSj1CN9CcojahznBBIt40YqsBiVMWRwzaSBGhMULVqGfFMKFWTxOV9OBfu5MPyMZXmJt/2Wx+LTbH3AJmo2P7/IMf9Y99geppLAQQ4B/5pH/406iyElhNNNyuGz+n9/8hf/bR1EQsRgfaiQFlAQSfUA42fbk0ev+m7/+fXgSE1rCaBIWbZd0f93zv1zdOfdGZHHNTQDRRA8riGU0JNsqmL/k9X+Av/3sqIYshwpAK+IT5BZr60qsZ+jhf/QDVb6cmR8sEmmjupbrhM3rvH/DVT6Um4oIEOhAgBWVxQk18550Mfkg/82Yf73USsWII4sXE5MDVdP833cG/9JteYXb/c3P1TxPkmU3ArJIao4/TGAdEeIZPcSkrhYJpoopLST22wWIICAslINIARZ2ksRhaSMHFgPgEp6IN5ibguAQK0kTBO1KHcSyGggXPwnhwCee4FAfapHUU0gQFn+IUbXJBCgZQvLBoHnzCOS7GeaTByhIxw4CF1OuZvYzu4+p/wBwCZiNrbrZv/5oc/pY+9FF/8B6SioC85K1m5z/FJ6wERlSaOXm8zM53M/QG6w0LZUTGphOdjHtFlAUQUHAHBut9rxu+9Vqnhpax4sfqJY6EU7v/zUj3uxJvmJuoDhaGrawFw+IZUZJQ93Waa9/Ba19pvWExFDndcL25kVBiRbggMc5MruEpeM0v0Xmn9ZaWEeOl1iFP5Lj57QzebH3ABRn8VNqZan9P5FVZHOPN2R4Oe3njh02+iQorhbFUh90976c6AUY61sv177S7fpGeHcwtYC42Z7a9ia2vN4e+6ff+sX/oi9K53Wx7PSvIdMqTx6X/erbdYViUkSS1lXq/ERZCBFT1yLG03F/dttt5WsdaGmOxHjkeD+yuXFVOUy5AFEqHjNnCxZKakyeO0XMN224zLI5T6nXv88fE1ATDfGRY5CnP2psZUkOLTQhPivS/hG07DPPySdyTsFYihEUTU+PQSTa8hu7IsJLo1BG+lUrHJnPjL8gN75Kurcwn4MLEytY32s2vlRveQ3Ma9YhhpVCPerxj0RLSpqQYURZABFVFvagzDnVKyxgVcV5QvDcpJlUuQD3UIIaIi6OKKuq4KJKkElUxTTDMQ/EBFCCGFISWUgMFNIEYhHk4XEk8RFwMn4KCsuKoNy//D+Yl75DOq1iYgIUwkdn6Bq4swiohIFxOQmZlkq4t9tZfZTEMmUwms0QMq5cqcarOKW3hnHfOo7Saqqap9542UDRJvfNK63mlmYhX2kCVJBHnaQPnNU5UlStBwOqVj8wNWzsGe3O0mCrnrB8qd5QiRWklVaLQbtrQUSoF6mm1KDDXb+kY6s3Tep0l3XV13Fn0ILRYIedv2Jr0d3tar7cz2nV1ZyFnuQKIqpJ5seOjDT1T32hFWTBjBNR72sAYUUVVuTD1m7ueCM12CGk7pxybiodKB3JBAwzzU2YIbaLMEObnRuv9qd+0pkTmwgIyS0RVaQPBCKAgrDbCDAWhfRSEzBIJWL2aTcbH6eqiUKCljCEIiZvqUrEBrWMtqtqsC6L5klNnvBdaaWoKVTo6UmMC2kEbdSOGXE5pGUWrTeMbBkFVCjkX5Wm1uMn4BMW86+gyIKxSAavUqZPs2eO7u3W8Yl96XbpxowWhNapTHN+vR/ebDTv8dbvFpbSCtYxP6yP3yMnDYgM270heenuuUBTnlBaoVHjwb90PHzO1hmzeXPnJ18ZdnYO0lp+eCr70xateunvylt1nwNISWmuaT31669SpnBg1Vt9+51Nbr07A0Bppwp6/08NHtbvHXXt10tFVYPUyrEYnzvLZP3Ebt0ze8WN23Ra+9jWZmEhomXqFiQYHD9GsC0IriCFp8oM/l8oE22/QcicP/HXhe1+vp34KhKWWeh55WHO52tvfoW98Pfse7fzGNwPnE1rsnh8MPvxIZxwbWkgPHSv1FOKbXza2c+fkrbeeWrexDpbWqFX005/myYP+jjsaP/7jZsPmAgirV8Cqo3Dv/wafXH9tB3D9Nn5wr/nmX0793NtDEFpgzQbiHvY+hBFaxAhPHXZDm3XXbUEQaq3Jd74hJ/bmzhxpDG1Vl7K0KjGDQ/7qrSUwA/0cv808sb/UbGixSMu4x57qnhguDA6mtJBWk+CxvV1vefNjnZ0RhMyIQGmB0Rpf+Iz0dqZvfXsQBkWuAIZVp1rjxAE2bTguIkBoWTMgB57MuWSE1vAen4DSOs5Lf7+7ZleqKs2G5AK5Zrsq0phIQFlq3Xmu3mrB8LS6cvWWarHoaBU/PZX74SPRHXccsYIqLeOfeLzj0Qf7P/3pG7/zncFmswFCy9zz10xMDL/hjfUw4AphWHWGK4xN0l/qB8PTejpoNOXMuLByqfb2RFGU914BhZqn2Jn2bQ28N7RMw/HA3yDV+utfl4MCLaFO5TvfW3PtNfXeXklTWsdhCPTW286KmG9+Y/NH/ufuU6cLoLTAiTP68ANs39Qzdtb+4H7u+SudmKiAY1UzrDq5KsYTFiOeFYbqfGFyag0rmVdUOUdAPScOy+Zrhju7rHpaZPSM/sldfO1r/HB/7vEnDKS0hH/4qa5ycOKGG8a9t7SSRXZfO/6WNx/9hV/Y/w//4ZHpyejP7u5LXBOEpfbUIbxPBtfH3b2yYROPH5HPfTadmKiwqhlWHTUoiBGe5T3niLA62JCzIzQm67tuWasUQWmN7h75mTfwD96GS82fflVPn55m6enkVP7YPm69PYUAPIKIgtIqFmw+73fdePYtP3v06JHeIwfK4Fhqk+NSyJtrd+R6egrr1/GmN+mxE90P/G0VElYvw6pTz+OEtBbzrGpVAlPt6z3BymctYzV5fO/4j71yKleOvFNaxgaUO7hlJ298M5Vq/vSZLhZDABHlAjT1/MV31/b1V6q10snh0ukzBVWZnIxGRopJorSQgN1xw2TnmtrEsDI/EWFRghQbGBuFPG1tj2wa4ujR1HtWsYBVZ12J3k4majXoAInh5DRdXaavq8AKZw3VWB7+2zPbtk0PrN+cJsYY9Z5W27yVnm5FPRgWw4p4tcytEtvjZ83xfdse+IED1JvUm4f+ruvQ/vw733mgtxcQWif0uY60e62FhAsRT2iERZEemo20NtXs6y0DgaWjk5SqiGf1Clh1OstcfROP7Vn7Fk1EoqSpE2fZeWOC6WWhrCERBWEhBMSgIIIILRJYKil7/k537bDrt21IE4lTTu+f7tugYa5LVXkhRax4wYBwaVyNno7R9es8rGXBjBDZoJ6WimGFOXTn3fvefQCEGX70TO4P/uDa1/zE6TtuPQURS0/BgQEBd2pf76bS9FXbpqAAyuzUq9TTjt48i3LLNt3zbTl5Kt242YNJU2o13fnSLSIRq1fAavTjtzF6kEcekWuu0ccekt5ietttORYhH9maiLIwzmtSwzepVUhiRUWEpSXCdJ17/lLPPmmmD/W6b6oYqlVdt0GHthU8s1AlCmpGLFgW6fiEfutudt3AtS9JPeED+7jl9o6e3pBFKkecqfV2589aURBeTJgR8AzxPmg0JI4NWJaeTk8HX/nylrVDp264wY+MlB57LHj1q46FQR6UOflq0gWlQsCiDKyRXa8Mvvu9jk2btKePx/bS3Td248sCyLN62Q984AOsOvmIrVt48kk5cYLE8Zofp7MzAGGhwsCcqSTF1EcizEM4McLZxyVvxXnShI4uF4SGJSWGJx/T6eOm3I0qYuScMPDX3TTZ2depnvMp0pM/XQxy0MkihSknjnDgEKlrxM1oy3q2bw/BsEihoZ6GtSQoh5MiCsIFudSMjUVbtlUHB5ogLDUPoxO5Qwd6n3qqM5ef/omfmOjtsyDMKW26wkh9c28+KAQs1pZNRDlz8Ck9MyHOuVe9qpTP51nVRFVZpbwnSYlCRFi8U1Nx5VR1q2KMKBfkHILaAO/xDmMREZaaV6xRXkSNopzHeSlFU+tKx61shTwXRZU4JgiwlovmlBMVtTI2WDwVmibzUhBaQ0DBgzDDg2VOAlTijjP1DV25fG+ei5YkqCeMVERY7URVyczCw8HJph2pb/JqDYgocxPhR1RpBRHOp4DyfKrioRBU15UOh2Yt9HG5OeVMnUYaF4LJfFCFlLmJgKK0kAjnqAoosxOvYS3pTH1nd8505cgskKgqmdklcKyaJFPNgWra4XyAsJwpGDSyjY5wvDs/bmUd9LJsNFKqKXGKA2VZMxAI+ZByiBUyCyeqSmZOCmOq4069V89yJwLWYCQPg1Agk2kvUVUy81CIIQFlWRMQiCAkk7kcRFXJZDKZpWDIZDKZJWLIZDKZJfL/A69gQwonAM6LAAAAAElFTkSuQmCC)
اما نامساویهای همجهت را نمیتوان عضو به عضو از هم تفریق كرد.
خاصیت هفتم نامساوی ها
اگر و هر دو مثبت یا هر دو منفی باشند، همواره مثبت است و اگر یكی منفی و دیگری مثبت باشد، همواره منفی است.
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)
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)
خاصیت هشتم نامساوی ها
بهازای هر عدد حقیقی نامساوی یا به طور كلی همواره برقرار است.
خاصیت نهم نامساوی ها
هر عدد حقیقی با معکوس خود، همعلامت هست:
خاصیت دهم نامساوی ها
هرگاه دوطرف یک نامساوی مثبت باشند، میتوان دو طرف را معکوس کرده، جهت نامساوی را عوض میکنیم، برای حالت منفی هم، همین گونه عمل میکنیم:
اما اگر یک طرف نامساوی مثبت و طرف دیگر منفی باشد، میتوان دو طرف نامساوی را معکوس کرد، اما جهت نامساوی تغییر نمیکند.
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)
خاصیت یازدهم نامساوی ها
حاصلضرب یک عدد در طرفین یک نامساوی و حاصل تقسیم یک عدد بر طرفین یک نامساوی
![خواص نامساوی ها - پیمان گردلو](data:image/png;base64,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)
![خواص نامساوی ها - پیمان گردلو](data:image/png;base64,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)
خاصیت دوازدهم نامساوی ها
در ضرب نامساویهای زیر داریم:
و هم علامت هستند.
تمرین
نامساوی فوق صحیح است.
نمیتوانیم طرفین وسطین کنیم چون نمیدانیم سمت چپ نامساوی عددی مثبت است یا منفی، بایستی تعیین علامت شود:
![نامساوی ها - پیمان گردلو](data:image/gif;base64,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)
خاصیت سیزدهم نامساوی ها
در به توان رساندن طرفین نامساوی، حالات زیر را در نظر میگیریم:
الف) طرفین هر نامساوی را میتوان به توان فرد رساند، بدون آن كه جهت نامساوی عوض شود:
ب) اگر دوطرف نامساوی مثبت باشند، میتوان طرفین را به توان زوج رساند:
پ) اگر دوطرف نامساوی منفی باشند و طرفین آن را به توان زوج برسانیم، جهت نامساوی تغییر میكند:
ت) اگر طرفین نامساوی مختلف العلامه باشند و آن را به توان زوج برسانیم، ممكن است جهت نامساوی حفظ شود یا تغییر كند.
تمرین
توان زوج است، بنابراین مخرج همواره مثبت میباشد.
برای برقراری نابرابری بالا باید منفی باشد و این در صورتی اتفاقی میافتد که علامت و مختلف العلامه باشند:
برای برقراری این نابرابری، علامت میتواند هم مثبت باشد و هم منفی باشد و علامت و مختلف العلامه باشند.
برای برقراری این نابرابری، باید و هم علامت باشند.
خاصیت چهاردهم نامساوی ها
از طرفین یک نامساوی میتوان ریشه فرد گرفت، اگر دو طرف نامساوی مثبت باشند از طرفین ریشه زوج هم میتوان گرفت:
تمرین
یادآوری)
طبق قانون فوق، اگر باشد، نمیتوان نتیجه گرفت است، اما میتوان نتیجه گرفت که است.
خاصیت پانزدهم نامساوی ها
اگر و اعداد طبیعی و باشد، نامساویهای زیر برقرار است:
خاصیت شانزدهم نامساوی ها
اگر و باشد، میتوان از نامساوی استفاده کرد.
خاصیت هفدهم نامساوی ها
اگر اعداد حقیقی باشند و کثیرالجملهها یا توابعی تعریف شده در مجموعه اعداد حقیقی به صورت زیر باشند:
آنگاه در دامنه تعریف آنها ویژگیهای زیر صدق میکند:
خاصیت هجدهم نامساوی ها
اگر کثیرالجملهای بر حسب اعداد حقیقی باشد که آن را برای سادهنویسی با نشان میدهیم و داشته باشیم:
آنگاه:
این نامساویها برای حالات یا صادق است.
خاصیت نوزدهم نامساوی ها
اگر بهازای همه مقادیر در دامنههایشان تعریف شده و فرد باشد، داریم:
اگر زوج باشد، تنها وقتی میتوان طرفین را به توان زوج برسانیم که دو طرف نامساوی، نامنفی باشند، یعنی:
خاصیت بیستم نامساوی ها
اگر بهازای همه مقادیر در دامنههایشان تعریف شده، داریم:
تمرین
نامساوی همواره برقرار است پس نامساوی مورد نظر همواره برقرار است.
نامساوی همواره برقرار است پس نامساوی مورد نظر همواره برقرار است.
نامساوی همواره برقرار است پس نامساوی مورد نظر همواره برقرار است.
نامساوی همواره برقرار است پس نامساوی مورد نظر همواره برقرار است.
نامساوی اخير همواره برقرار است پس نامساوی فوق هم همواره برقرار است.
طرفين نامساوی های فوق را با هم جمع میكنيم:
طرفين نامساوی های فوق را با هم جمع میكنيم:
طرفين نامساوی های فوق را جمع میكنيم:
طرفين نامساوی های فوق را در هم ضرب كنيم:
نامساوی همواره برقرار است.
با توجه به نامساوی فوق همواره برقرار است، پس صورت مسئله برقرار است.
ريشه حقيقی تابع زیر است:
اگر تابع صعودی است، از طرف ديگر طبق قضیه بولتزوانو داریم:
چون است عبارت صورت و مخرج هر دو مثبت است پس نامساوی اخير درست است، بنابراين نامساوی صورت مسئله برقرار است.
تمرین
بههمین ترتیب داریم:
طرفین نامساوی های فوق را باهم جمع میکنیم:
نامساوی فقط درصورتی برقرار است که داشته باشیم:
بههمین ترتیب:
تمرین
هر دو عدد را به توان میرسانیم: