Multimi

andreeadiana · Mesaj de **andreeadiana** » 11 Sep 2014, 12:09

$\it{\bl Stiind ca multimile A si B indeplinesc simultan conditiile: \\\;\\ 1) A\cup B = \{x\in\mathbb{N}| 2\leq x+1\leq12\} \\\;\\ 2) A\cap B = \{x\in\mathbb{N}^*| x=2n+1, n\leq 5\} \\\;\\ 3) A-B=\{4; 6\} \\\;\\Determinati elementele celor doua multimi.}$

Va multumesc !

Cu mult respect !

tata2008 · Mesaj de **tata2008** » 11 Sep 2014, 15:06

andreeadiana scrie: $\it{\bl Stiind ca multimile A si B indeplinesc simultan conditiile: \\\;\\ 1) A\cup B = \{x\in\mathbb{N}| 2\leq x+1\leq12\} \\\;\\ 2) A\cap B = \{x\in\mathbb{N}^*| x=2n+1, n\leq 5\} \\\;\\ 3) A-B=\{4; 6\} \\\;\\Determinati elementele celor doua multimi.}$
Va multumesc !
Cu mult respect !

$\rm{\bl\Large\\ elementele multimii A\cup{B} se determin\breve{a} din 2 \le x+1 \le 12 \rightarrow \{I. x+1 \ge 2 deci x\ge1 \\ II. x+1\le12 deci x\le11\\$ $\rm{\bl \rightarrow A\cup{B}=\{2; 3; 4; 5 ; 6;7; 8; 9; 10; 11\} \surd\\ elementele multimii A\cap{B} obtinem din n\le5 adica n=\{1;2;3;4;5\} \\ deci x=\{2*1+1=3; 2*2+1=5; 2*3+1=7; 2*4+1=9; 2*5+1=11\} \\ \rightarrow A\cap{B}=\{3;5;7;9;11\} \surd\\$

$\rm{\Large\bl\\ A = \{ .... \} si B = \{ ... \}$

andreeadiana · Mesaj de **andreeadiana** » 11 Sep 2014, 15:27

Multumesc mult !

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