Жиындарға қолданылатын операциялардың қасиеттері
Айталық U универсумы берілсін. Олай болса А,В,С U төмендегідей қасиеттер орындалады:, операцияларының ассоциативтігі
A(BC)=(AB)C
A(BC)=(AB)C
2. ,операцияларының коммутативтігі
AB=BA;
AB=BA
3. Дистрибутивті заң (үлестіру заңы)
A(BC)=(AB)(AC)
A(BC)=(AB)(AC)
4. Идемпотенттік заң
AA=A; AA=A
5. Жұтылу заңы
A(AB)=A; A(AB)=A
6. Де Морган заңы
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)
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)
7. Нөл мен бір заңы, айталық 0⇆, 1⇆U онда
А=A; A=;
A1=1; A1=A;
A =1; A =
8. Қос терістеу заңы (инволютивность)
9. Толықтыру заңы.
![](data:image/png;base64,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) 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y5fPly7cf7+PiInpPVqtoUrAzU/Zm2yplZr1699J0TlrJp06a+ffvqe4eaO++889lnn73rrrt0nNNIylK68D3ijz/+OHfu3AULFuTn59d82rS0tJtuumnDhg3t27ev+WxAzdGe7I5oaFfjxo0TWhKxsbE33HCD6KvUq1evTZs233//vejA6rH2nG3jxo39+vXT6yIM5dNfSZmTJk3q1q2bLhOa7uqrr05MTJwwYcLixYtTU1MPHTpUwwlzc3O7d+++fv36Tp066VIhUBO0J7sjGtrSZ599prQB7cf7+/srrci714qKipKx9vSdENaxZs0a5YNer1+Y9ujR4/nnn+/SpYsus1mK0tiefvrpYcOGvfjii9OnTy8sLKzJbCdOnOjZs+fatWtjYmL0qhDwAu3JAYiGtiT6qPLHHnusbdu23r1WZGSk7vco5qbzTqXkwgEDBuhyk5rw8PDU1NRf7gvjVIGBgcpyHjp0qNId58+fX5O/OiVc/ulPf/rXv/7FE1NgItqTAxAN7ecf//jHtm3btB9ft27duLg4r19OxlVg2dnZBQUFoaGhus8ME33yySexsbE1z4VKWpowYcL48ePd88yPhg0bzp49+69//avSJmvSmUpKSnr37v3xxx937dpVx/IAjWhPzkA0tJmKiorJkycLDXn66aebNWvm9SvKuAqsVtWX9j179pQxM0yxdevW++67r+a/R77tttsWL17crl07Xaqyl+jo6G+++eb5559PSEgoLS31bpKioqK77777008/lbRygcuhPTkG0dBmFi5cmJWVpf145dRn/PjxNXlFpUkrJ3a6P9eBteck3333Xe/evYuLi2sySUBAQHx8/NixY918D2c/Pz9lwd57770DBgxQ/la9myQ/P/+uu+5SwnqrVq10rQ6oDu3JMYiGdlJSUpKQkCA0RGm0NfxiXOnTHTt2/Pbbb2syyW+x1dcxTp482adPn1OnTtVkkmuvvXblypVeXKXoSB06dNi2bduwYcNWrFjh3Qw//vijEta3bNlio7s/wtZoT05CNLSTWbNmHTt2TPvxTZs2HTVqVM1fNyoqSve1x1ZfZygrK+vXr9+BAwdqMsl999332muvBQcH61WVAwQFBb355psxMTGjR4/2bvvm3r17BwwY8OGHH/r78zkP6WhPTsJHhm2cOHEiNTVVaMiUKVPq1q1b85eWsZ8jKyuruLhY6X+6zwwjDRs2bPPmzV4PV076k5KSJkyYoGNJTvLkk0+2bt36gQce8O6X9R9//PGIESNefvll3QsDLkZ7chiioW0kJiYWFRVpP75NmzZDhw7V5aVlXAVWWVmZnp7OPdhsbeHChcuWLfN6eJ06dV5//fU///nPOpbkPL169frss8969+79448/ejF80aJFv//974cMGaJ3XcB/0J4chmhoD9nZ2aKn/gkJCXr9IkneVWBuXnt2p3x0jh492uvhjRs3XrNmzc0336xfRY7VpUuXr776qkePHt49N2XEiBGdO3eW0UGBWrQnJyIa2sOkSZOEHlWutIFBgwbp9epKF2/atGleXp5eE17Afg77KioqGjhwoNc3WAkLC/voo4+uv/56fatysNatW3/88ce33367F8vwzJkzAwYM2L59e/369WXUBpejPTkP0dAG0tPT33rrLaEhycnJ+tagnJnpvva4Csy+Ro4c6fXzqVq0aPHJJ5+0adNG35Icr127dko67N69+4kTJ0TH7t+/f9SoUa+++qqMwuBmtCdHIhragOijymNiYu655x59a1DO8zZu3KjvnBkZGcq5pnueeOEYa9eufe2117wb27Jlyy+++KJ58+b6luQS7du337Bhw+233/7TTz+Jjl26dGn//v379u0rozC4Fu3JkYiGVvfJJ5+IvumnT5+uexky9nOUl5fv3LmTJ3rZS35+vtf7x5s1a/bRRx+RC2siOjr6jTfeUEKeUD++YNiwYbt3727UqJGMwuBCtCenIhpaneijynv37i1j86ykPewej8e1a8+mRo0aJXT3sl8oiUTpIm3bttW9JLe59957k5OTvbjjj/KDe/rpp5cvXy6jKrgQ7cmpiIaW9vbbb2/fvl378T4+PtOmTZNRSYcOHfz8/CoqKvSd1uVbfW3n888/f/PNN70YGBgY+N577ynvIt1LcielJe/evduLn8Vbb701dOjQP/zhDzKqgqvQnhyMaGhd5eXloo8qf+ihhySdPwUEBISHh+/du1ffaV2+1ddelE/ep556yruxS5YsueWWW/Stx+X+/ve/b9261YuLgUaMGLFz504ekYKaoD05G58O1vXyyy8Lfe7Xrl07MTFRXj2RkZG6r71du3YpgUM54dN3WsgwZ86cPXv2eDFw6tSpDz74oO71uFxQUNDy5ctjYmJEH6P33XffzZo1S/RXgcDFaE/ORjS0qOLiYtGF9Pjjj7du3VpSPbWq9nOsXLlS3zlLS0szMjIk3bMUOjp16pR3n+z33HNPXFyc7vVA0a1bt/j4+EmTJokOTElJUT4uuB4F3qE9OR7R0KJSU1OFnotVr1492Q1Y0gpJS0tz59qzl+Tk5MLCQtFRLVu2fP3112XUgwvGjx+/evXqbdu2CY06ffp0UlLS7NmzJVUFZ6M9OR7R0IqOHz8+a9YsoSGjRo1q0qSJpHoukHcV2ODBg2XMDL3k5ubOnz9fdJS/v79yHt+gQQMZJeECHx+fBQsW3HjjjZWVlUIDlVGjR49WsrukwuBUtCc3IBpaUUJCgtAtbZXuO3bsWHn1XKB0keDg4NOnT+s7rZu3+tqF8ob04pl4EydO7Natm4x6cLHOnTsPHz5cNLuXlZXFx8fzfBSIoj25AdHQcg4cOLBw4UKhIePGjQsJCZFUz8UiIiK2bNmi75w7duzQd0Lo68iRI148+0TJK6IXMMJr06ZN++c//yn6rLA333xTSYfcgRza0Z5cgmhoOZMmTTp37pz248PCwkaOHCmvnotFRkbqvvaKiooyMzPDw8P1nRZ6mT17dllZmdAQf3//pUuXcnsUwwQHB8fFxT355JNCo5TPmVmzZr344otyioID0Z5cgs9ua/F4PKKXWU2ZMqVOnTqS6vkVSfs50tLSXLj2bKGgoED0SwLF6NGjlTN4GfXgch5//PHU1NQDBw4IjXrllVeUDxAuVYYWtCf3IBpay/jx44UejdquXTulJcir51ckXaulfOLExsbKmBk1pORC5bxZaEjz5s2nTp0qpxxclr+/v/LXLrplvqSkZMGCBfzqH1rQntyDaGghGzdu/Oijj4SGJCYmGnlDTnlrT8a0qLmXX35ZdMjMmTPr1asnoxhUb9CgQfHx8aLPR1m0aNHEiRN9fX0lVQVnoD25CtHQQpRzMqHjo6OjDT6bCQkJad68+aFDh/Sd1s2PqrSyDRs2HDx4UGhIly5dXHiGbRFKvPuf//kf0R2HynJet25d3759JVUFZ6A9uQrR0CpWrFgh+hZMTk6WVEw1oqKidF97+fn5OTk5LVq00Hda1JAXXxnOmDFDRiXQ6JFHHpk6darQ7YhrVT2OmWiIatCe3NaeiIaWcO7cuSlTpggNuf322++++25J9VQjMjJy3bp1uk/r8XjctvYs7vjx4++//77QkD/84Q89e/aUVA+0CAwMHD58eHx8vNCo9evXHzlyJCwsTFJVsDXakwvbE9HQEpSzdtFLC1NSUiQVUz15N53v16+fjJnhnX/84x/l5eVCQyZOnCipGGg3dOjQpKSkiooK7UMqKyvffvvtMWPGyKsK9kV7cmF7Ihqa76efflI+yoWG9O3b9/e//72keqrHVl+XWLFihdDxXbt2veOOOyQVA+3CwsL69Onz3nvvCY166623iIb4LdpTLVe2J6Kh+Z5//vnjx49rP97X13fatGny6qne9ddfHxAQIHoP5Cty4dqzskOHDonePNaAZ2FBoyeeeEI0Gm7btu3AgQNt2rSRVBJsivZUy5XtiWhosh9//PGFF14QGjJo0CAT7yfs5+enLL+dO3fqO21eXt6xY8dkP4IdGq1atUroBmZhYWH9+/eXVw+E3HXXXc2aNTt69KjQKOWHTr7HxWhPF7iwPRENTRYfH19cXKz9+Nq1ayckJMirR4uoqCjd116tqjOzXr166T4tvLB27Vqh4x9//HEjb2CG6vn6+j744IOzZ88WGrVu3TqiIS5Ge/qF29oT0dBM33///aJFi4SGDBs2rFWrVnLK0Urefg5XrT3LKioq+vLLL7UfrwSRoUOHyqsHXnj44YdFo+GWLVsKCwtDQkIklQR7oT1dzG3tiWhopokTJwpdBBoUFCR6EwEZ5F0FJmNaiNq4ceO5c+e0H9+zZ89rrrlGXj3wQnR09HXXXbdv3z7tQyoqKtavX//AAw/Iqwo2Qnu6mNvaE9HQNNu3b1+1apXQkNGjR1999dWS6tFO0mmZO286b0Effvih0PGDBg2SVAlqol+/fqJ3IFd+9ERD1KI9/Ybb2hPR0DTjxo0T2unfsGHDZ599Vl492oWFhSnF5Ofn6zttdnZ2QUFBaGiovtNC1Geffab94Dp16tx///3SaoH3+vfvLxoNv/jiC0nFwF5oT7/itvZENDTH+vXrP/nkE6Eh48ePDw4OllSPKOXM7PPPP9d9Wo/Hw+M0zJWXl/f9999rP/6OO+6wztsSF7vxxhuVNnnkyBHtQw4ePMhjUUB7uiRXtSeioTkmTJggdPw111zz9NNPSyrGC1FRUaw9R9q0aZPQ8X369JFUCWqud+/eolcSKG+A2NhYSfXAFmhPl+Sq9kQ0NMGbb76Znp4uNCQuLi4wMFBOOd7gpvNORTR0krvuuotoCCG0p8txVXsiGhrNi0eVh4eHP/roo5Lq8Y6kq8DcttXXgr755hvtBysfwVybbGV33nmnr69vZWWl9iHffvutvHpgcbSnariqPRENjfbSSy9lZ2cLDUlMTLTa/YQjIiJ8fHyE9ilrkZWVVVxcHBQUpO+00EjJELt27dJ+fI8ePaTVAh2EhoZ27dpVKO4rbwDlbaAESnlVwbJoT9VwVXsiGhqqqKhI9PmSnTt3HjhwoKR6vFavXr02bdoIXa+ghdKT0tPTY2Ji9J0WGu3bt+/MmTPaj+/evbu8YqCLO+64QygaKm+AvXv3duzYUV5JsCbaU/Vc1Z6IhoaaOXPmiRMnhIYkJydLKqaGIiMjdV97tar2c7hk7VmQ6G9Mbr/9dkmVQC+33nqr6BDlbUA0dCHa0xW5pz0RDY2Tl5cn+uiqHj16/PGPf5RUTw1FRUWtXr1a92ldtZ/DaoSePaqclzdu3FheMdCF0slEtxvu3r1bXj2wJtqTFu5pT0RD40ydOrWkpERoSEpKiqRiao6rwJwnKytL+8GdO3eWVwn0EhwcHBERIRT6hd4GcAbakxbuaU9EQ4NkZma++uqrQkPuu+++m266SVI9NSfpKrCMjIyysrKAgAAZk6N6QpmgU6dO8iqBjmJiYoiGqAbtSSP3tCeioUFEH1Xu6+sruiPYYO3atatbt67QVQtaKH9LShvr2rWrvtNCC6HdOURDuxBdTTI2acHKaE8auac9EQ2N8M0337zzzjtCQ/7rv/6rQ4cOkurRhY+PT8eOHWXcBc3j8bhh7VnN4cOHhT5Jr7/+ennFQEfdunUTOl55G+Tm5nLHSpegPQlxSXsiGhph3LhxQscHBAQkJCRIKkZHkZGRMtaee7b6WkpOTo72gwMDA1u2bCmvGOhI6eL16tUT2kl26NAhoqFL0J6EuKQ9EQ2l++CDD0Sf5/jEE0+0aNFCUj06krSfwz1bfS3lyJEj2g9u27atcl4urxjoyNfXNzo6esuWLdqHCL0ZYF+0J1EuaU9EQ7nOnz8v+qjyq666atKkSZLq0Zekq8B27dpVUVFhtTvsO97Ro0e1H9yuXTt5lUB3ylIlGuJXaE9ecEl7IhrK9frrrws9eUwxZsyY3/3ud5Lq0Zek07LS0tKMjAxJCxuXI5QG+G2jvURERAgdTzR0A9qTF1zSnoiGEpWVlcXFxQkNadSo0TPPPCOpHt01bty4SZMmx44d033mtLQ0x689q8nLy9N+cFhYmLxKoDvRaChjUcNSaE9ec0N7IhpKNG/ePKGt/YoJEybUr19fUj0yKGdmGzdu1H1aj8czePBg3adFNQoKCrQfTDS0F9FoKPRmgB3RnrzmhvZENJTl9OnTos+XbN68+YgRIyTVI4ly8iRp7ek+J6pXWFio/WDldFxeJdBdo0aNGjdurP0JuUJvBtgO7akm3NCeiIayTJ8+PT8/X2jIc889FxgYKKkeSSTt59ixY4eMaVENoTQQEhIirxLIcO211xINcQHtqSbc0J6IhlIcPXp0zpw5QkOuu+66IUOGyClHIklbLoqKijIzM8PDw2VMjksSSgOhoaHSCoEU7dq1++qrrzQeTDR0MNpTDbmhPRENpVBOsEQf0ZOUlOTr6yupHnk6dOjg5+dXUVGh+8xpaWnOXntW89NPP2k/mG8Nbefaa6/VfrDQmwH2QnuqOce3J6Kh/vbt27dkyRKhIV27dv3zn/8sqR6pAgMDlZbz3Xff6T6zx+OJjY3VfVpcTllZmfaDg4KC5FUCGYSi4blz5+RVAhPRnnTh+PZENNTfhAkTRE9TRHcEW0pUVJSktaf7nKiGUBoICAiQVwlkaNWqlfaDiYZORXvShePbE9FQZ1u3bl29erXQkJ49e955551yyjFCZGTkypUrdZ/WJY+qtI7y8nLtB9euXVteJZBB6OFmRENHoj3pxfHtiWioM9FHlStSUlJkVGIYSVeB5efn5+Tk2OJhnc4glAaIhrbTtGlT5aem8acstLsAdkF70ovj2xPRUE9r167dtGmT0JD+/ft369ZNUj3GkHdfeI/H4+C1ZzWVlZXaD/bx8ZFXCWRQfmTXXHNNdna2loNl7NyHuWhP+nJ2eyIa6ub8+fMTJ04UGuLn5zdt2jRJ9RimVatW9evXLyoq0n1mZe3169dP92kBd1I6mcZoCIehPek+s7PbE9FQN6+99tru3buFhgwePPj666+XVI+RIiIitN8yTTvHb/UFjMTjDV2L9qT7tM5uT0RDfZw9e/a5554TGhIYGDh16lQ55RgtKiqKtQdYHI83dCfaE+1JFNFQH3Pnzj106JDQkOHDhzdv3lxSPQaTtJ8jLy/v2LFj9DNAF02bNjW7BJiA9iRjWme3J6KhDgoLC724jOvFKhLKcRTlzKxXr15mVwE4AdHQhWhP8ji4PRENdaAsvFOnTpldhTM5eO0BBiMauhDtSR4HtyeiYU3l5ubOnTvX7Cocy9n7OQAjNW7c2OwSYCjak1QObk9Ew5ry4lHl0M7xN50HDNOwYUOzS4ChaE9SObg9EQ1rZO/eva+99prZVThZdnZ2QUFBaGio2YUAttegQQOzS4BxaE+yObg9EQ1rxItHlUOUx+Pp2bOn2VUAtqf0MF9fX6HH3sC+aE8GcGp7Ihp6b8uWLWvWrDG7Cudz6toDjBcSEsJFCW5AezKGU9sT0dB7XjyqHF5w8FZfwGANGjQgGroB7ckYTm1PREMvKSdkmzdvNrsKV3DwVl/AYFdddZXZJUA62pNhnNqeiIbeqKysFH1UObyWlZVVXFwcFBRkdiGA7RENHY/2ZCSntieioTeWLl2akZFhdhVuoXzSpaenx8TEmF0IYHtEQ8ejPRnJqe2JaCjs7NmzjnnuuF14PB7nrT3AeERDZ6M9Gc+R7YloKGzOnDmHDx82uwp3cep+DsBg9evXN7sESER7Mp4j2xPRUExBQcH06dOFhvj5+e3Zsyc8PFxSSZbSoEGDwsJC3ad16lVggMHq1KljdgmQhfZUPdqTdkRDMcnJycryExoyZMgQlyw8RUREhIwr4zIyMsrKygICAnSfGXCVwMBAs0uALLSn6tGetCMaCjh8+PC8efOEhijn6K7a+REVFSVj7ZWXl+/cubNr1666zwy4CtHQqWhPV0R70o5oKCAuLq60tFRoyJNPPnnNNddIqseCIiMjJc3s8XgctvYA4xENnYr2dEW0J+2IhlplZGQsW7ZMaEhwcLDb7i+lnJZJmtmRW30BgxENHYn2pAXtSTuioVbjx48XfSz9M88807BhQ0n1WJPU0zJJMwPu4bAdUbiA9qQF7Uk7oqEmX3755dq1a4WGXH311WPGjJFUj2XVr1+/ZcuWP/zwg+4z79q1q6Kiws/PT/eZAfdgBTkP7Ukj2pN2RENNvHhU+aRJk5z38BwtlDMzGWuvtLQ0IyND3mkf4Aa+vr5mlwCd0Z60oz1pRDS8stWrV3/11VdCQ5RTkyeeeEJSPRYXFRUlegqrUVpampPWHmA8oqHD0J6E0J40IhpegXePKo+Pj69du7aMeqxP6n6OwYMHS5occAMn/c4LtCdRtCeNiIZX8Oqrr3733XdCQzp27Pjwww9Lqsf65F0F5rytvoDB+NbQSWhPomhPGhENq1NaWurFHUGnTZvm4+MjoRx7CA8PDwwMPHv2rO4z79ixQ/c5AVchGjoG7ckLtCeNiIbVefHFF48cOSI05Oabb7733nsl1WMLfn5+7du3T09P133moqKizMxM9zzWCdDd+fPnzS4B+qA9eYH2pBHR8LJOnTo1Y8YM0VEpKSkyirGXyMhIGWuvVtVWX8esPcB4RENnoD15jfakBdHwsqZNm1ZYWCg05E9/+lP37t0l1WMjUvdzxMbGSpoccDyioTPQnrxGe9KCaHhphw4dmj9/vtAQHx+f5ORkSfXYCzedB6ypoqLC7BJQU7SnmqA9aUE0vLQpU6aI7lQdOHBgp06dJNVjLzyqErAm0cepwYJoTzVBe9KCaHgJu3fvfuONN4SG+Pv7JyUlSarHdpo2bdq4ceMTJ07oPnN+fn5OTk6LFi10nxlwA6Kh3dGeaoj2pAXR8BK8eFT5I4880q5dO0n12FFkZOSnn34qY2aPx+OMtQcYr7y83OwSUCO0p5qjPV0R0fDXNm3a9MEHHwgNqVu37nPPPSepHpuSuvb69esnY2bA8dhraGu0J13Qnq6IaPhrY8eOFR3y1FNPhYWFySjGvrjpPGBBRENboz3pgvZ0RUTD/+edd975+uuvhYaEhISMHz9eUj32xVVggAWdO3fO7BLgJdqTXmhPV0Q0/A/lfHrSpEmio5599tkGDRrIqMfWIiIifH19Zex5z8vLO3bsWJMmTXSfGXA89hraFO1JR7SnKyIa/sfixYv37dsnNER5B4wePVpOOfZWt27dNm3a7N+/X8bkyplZr169ZMwMOBvfGtoU7UlHtKcrIhqqzpw5Ex8fLzpq8uTJ9erVk1GPA0RFRbH2AEvhW0M7oj3pjvZUPaKhavbs2UePHhUa0rp167/97W+S6nGAyMjId955R8bMjtnPARisrKzM7BIgjPakO9pT9YiG/5afnz9z5kzRUQkJCf7+/AVeFjedB6yGaGg7tCcZaE/V463zb0lJSadPnxYaopxzDBo0SFI9ziDvKrDs7OyCgoLQ0FBJ8wNORTS0HdqTDLSn6hENa+Xk5CxYsEB01LRp03x8fGTU4xht27YNCgoqLi6WMbnH4+nZs6eMmQEH4zIUe6E9SUJ7qh7R8N97dUUfVX7LLbf06dNHUj2OoXw2dezY8ZtvvpExuQPWHmA80c86mIv2JAntqXpuj4a7du1avny56KiUlBQZxThPZGSkvLUnY1rA2YiGNkJ7kor2VA23R8Nx48aJ3veyV69et912m6R6HIatvoClsNfQRmhPUtGequHqaPj555//61//Ehri4+OTnJwsqR7nkbfVNysrq7i4OCgoSNL8gCPxraFd0J5koz1Vw9XRUDknEx0SGxt7ww03yCjGkeSdlikn0+np6TExMZLmBxyptLTU7BKgCe1JNtpTNdwbDVetWiW6z8Df3z8xMVFSPY7UsGHDZs2aid6sVSOPx2PrtQcYj2hoC7QnA9CequHSaOjdo8ofe+yxtm3byqjHwZQzM0lrzwH7OQCD8Qtl66M9GYb2dDkujYaLFi3KysoSGlK3bt24uDhJ9ThYZGTk+vXrZczsgKvAAIMRDa2P9mQY2tPluDEalpSUJCQkiI4aOXJks2bNZNTjbPL2c2RkZJSVlQUEBEiaH3CeM2fOmF0CqkN7MhLt6XLcGA1feOGFvLw8oSGhoaFebApGLZlXgZWXl+/cubNr166S5gech2hocbQnI9GeLsd10fDkyZOpqamio8aOHWv3RyKapUOHDv7+/so6kTG5x+Ox79oDjMdlKFZGezIY7elyXBcNExMTRR9V3rRp01GjRkmqx/Fq164dHh6ekZEhY3K7b/UFDMYtr62M9mQw2tPluCsaZmdn//3vfxcdNWXKlLp168qoxyWioqIkrT27b/UFjFRSUnL+/Hmzq8Cl0Z5MQXu6JHdFw8mTJ4ueNLdt23bo0KGS6nGJyMjIt956S8bMu3btqqio8PPzkzE54DDFxcVml4DLoj2ZgvZ0SS6Khjt27FixYoXoqISEBH9/F/0tySDvKrDS0lLlhE/eVmLASUpKSswuAZdGezIL7emSXPSuGjdunOgvU5Q3zUMPPSSpHveQujbS0tJsuvYAg/GtoWXRnsxCe7okt0TDTz/9dMOGDaKjeFS5Llq0aBESElJYWChjco/HM3jwYBkzAw5DNLQm2pOJaE+X5JZo6MVtn2699dZ77rlHRjEuFBERsXnzZhkz23qrL2AkoqE10Z7MRXv6LVdEw5UrV3777beio1JSUmQU405RUVGS1t6OHTtkTAs4D/e7tiDak+loT7/l/GhYXl4+efJk0VG9e/eOiYmRUY87ydtvUVRUlJmZGR4eLml+wDG4DMVqaE9WQHv6LedHw4ULF+7fv19oiI+PD9s49CXvKrBaVVt97bj2AIMRDa2G9mQFtKffcng0LC4uTkxMFB310EMP2fSqIsuS+vfp8XhiY2PlzQ84A79QthTak0XQnn7L4dFw1qxZx44dExpSu3ZtL5Yrqle/fv2WLVv+8MMPMia371ZfwEh8a2gptCeLoD39lpOj4YkTJ5S1Jzpq6NChrVu3llGPyylnZpLWnq0fVQkYhmhoHbQnS6E9/YqTo2FCQkJRUZHQkHr16k2ZMkVSPS4XFRW1du1aGTPn5+fn5OS0aNFCxuSAY/ALZeugPVkK7elXHBsNDx48+PLLL4uOGjVqVJMmTWTUA9n7OWy39gCDEQ0tgvZkNbSnX3FsNJw0adK5c+eEhjRo0GDs2LGS6oHUq8CUtdevXz958wMOQDS0CNqT1dCefsWZ0TAtLe3tt98WHTVu3LiQkBAZ9UARHh4eGBh49uxZGZPbdKsvYKTS0lKzSwDtyYpoT7/izGjoxaPKw8LCRo4cKakeKPz8/Nq3b5+eni5jcjuuPcBgREMroD1ZEO3pV5wTDffv3//5559/UcWLS43y8vK6XiQ6OrpOnToy6nSV48ePK6fIynpLq5KVlSXphZQfX/PmzW/+WZcuXfjxAb8i6UsRXBHtyYJoT9WwdzTcs2ePstIuLDnlb78mU1VWVmZUWbZsWa2qc4gOHTpcWIfKD/KGG24IDAzUqWonO3jw4C8rTXHkyBHDXjo3N/efVWpV3f0rKirqwjq86aab2rVrZ1gZgGXxraGRaE9WQ3vSzmbRUFkhyo/2wnr78ssvT548KemFKioqdlVZsmSJ8p/+/v4RERHKIrywGpWfq/LTlfTSNqL8Le3du/eXlab8aAoLC80u6t/OnTu3vcr8+fOV/2zUqJGyAi8sxRtvvDE4ONjsAgET8K2hVLQnS6E91YQNomF5efm2bdsufBW/efPm06dPm1JDepXFixcr/xkQEKAsxV++3lf+XVmcxldlvJKSkp07d/6y2Hbv3m2LZqN8Rn9QpVbVE0jbt2//y1JUfnbKn5hdIGAEW6xWe6E9WQftSUc2eMf0799/3bp1Zlfx/5SVlXmqLFy4UPnPxx57bNGiRWYXJZ2y8EJDQ5WPIbMLqZHz589f+NXMhRPuWbNmjRkzxuyiACMoH1xml+A0tCeLoD3pywbR0PpX90i9JZJ1KD8Iuy+83+rSpYvZJQAGIRrqjvZkEbQnfVk9Gh4/fvzo0aNmV3EF0dHRZpdghG3btpldgs58fX07d+5sdhWAQURvs4zq0Z6sg/akL6tHwx07dphdwpXdcMMNZpdghG+//dbsEnQWHh5+1VVXmV0FYBCiob5oT9ZBe9KX1aOhpFtQ6qhVq1YWuaRINuedlnXr1s3sEgDjOO83buaiPVkH7UlfRMOacsnX9QUFBfv37ze7Cp117drV7BIA41RUVJhdgqPQniyC9qQ7omFNuWTtOe/r+lpmrz3AYJWVlWaX4Ci0J4ugPenO0tHw7Nmz+/btM7uKK3DJ2nPe1/V+fn6dOnUyuwrAOKKP7kU1aE/WQXvSnaWjYWBgIPumLWJCFbOrgESnTp0yuwTItWfPHr441AvtyTpoT7qzdDQEYJiQkBCzS4Bc9evXN7sEADZANAQAAICKaAgAAAAV0RAAAAAqoiEAAABUREMAAACoiIYAAABQEQ0BAACgIhoCAABARTQEAACAimgIAAAAFdEQAAAAKqIhAAAAVERDAAAAqIiGAAAAUBENAQAAoCIaAgAAQEU0BAAAgIpoCAAAABXREAAAACqiIQAAAFREQwAAAKiIhgAAAFARDQEAAKAiGgIAAEBFNAQAAICKaAgAAAAV0RAAAAAqoiEAAABUREMAAACoiIYAAABQEQ0BAACgIhoCAABARTQEAACAimgIAAAAFdEQAAAAKqIhAAAAVERDAAAAqIiGAAAAUBENAQAAoCIaAgAAQEU0BAAAgIpoCAAAABXREAAAACqiIQAAAFREQwAAAKiIhgAAAFARDQEAAKAiGgIAAEBFNAQAAIDq/wAyldDnPYOS6gAAAABJRU5ErkJggg==)
Жиындарға қолданылатын операциялардың қасиеттерінің дұрыстығына бірнеше тәсілдермен көз жеткізуге болады:
Нақтылы жиындар мен амалдарды орындау арқылы (екі жағынан бірдей нәтиже шығады) ;
Венн диаграммасын сызу арқылы;
Амалдардың анықтамасын пайдалану арқылы.
операциясының
Достарыңызбен бөлісу: |