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Question Number 118259 by Cristina last updated on 16/Oct/20

$$\mathrm{Svolgimento}\mathrm{prova}\mathrm{analoga}\mathrm{alla}\mathrm{verifica}1\mathrm{C}$$ $$1)\mathrm{Scrivere}{\mathrm{l}}^{\prime }\mathrm{insieme}\mathrm{mediante}\mathrm{elencazione}$$ $$\mathrm{A}=\{\mathrm{x}=8\mathrm{n}+5,\mathrm{n}\in \mathbb{N}\wedge 0<\mathrm{n}⩽3\}$$ $$\mathrm{Soluzione}$$ $$\mathrm{A}=\{13;21;29\}$$ $$\mathrm{A}=\{0;3;6;9;12\}\mathrm{B}=\{0;4;8;12\}$$ $$\mathrm{Scrivere}\mathrm{A}\cap \mathrm{B}\mathrm{A}\cup \mathrm{B}$$ $$\mathrm{Soluzione}$$ $$\mathrm{A}\cap \mathrm{B}=\{0;12\}\mathrm{A}\cup \mathrm{B}=\{0;3;4;6;8;9;12\}$$ $${\mathrm{L}}^{\prime }\mathrm{addizione}\mathrm{non}\mathrm{gode}\mathrm{della}\mathrm{propriet}\stackrel{`}{\mathrm{a}}\mathrm{invariantiva}$$ $$\mathrm{La}\mathrm{divisione}\mathrm{non}\mathrm{gode}\mathrm{della}\mathrm{propriet}\stackrel{`}{\mathrm{a}}\mathrm{associativa}$$ $$(50:10):5\ne 50:(10:5)$$ $$\mathrm{Indicare}\mathrm{la}\mathrm{propriet}\acute{\mathrm{a}}\mathrm{corrispondente}$$ $$35-7=(35-2)-(7-2)\mathrm{propriet}\acute{\mathrm{a}}\mathrm{invariantiva}\mathrm{della}\mathrm{sottrazione}$$ $$(11+7)\bullet 5=5\bullet (11+7)\mathrm{propriet}\acute{\mathrm{a}}\mathrm{commutativa}\mathrm{della}\mathrm{moltiplicazione}$$ $$(7-2)\bullet 3=21-6\mathrm{propriet}\acute{\mathrm{a}}\mathrm{distributiva}\mathrm{della}\mathrm{moltiplicazione}$$ $$\mathrm{rispetto}\mathrm{alla}\mathrm{sottrazione}$$ $$21-6=3\bullet (7-2)\mathrm{raccoglimento}\mathrm{a}\mathrm{fattor}\mathrm{comune}$$

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