Question

Fie D12 multimea divizorilor numarului 12 ,B -multimea numerelor impare mai mici decit 12 ,iarC -multimea numerelor pare mai mici decit 12 .Aflati:
a) D12 reuniunea B
b) D12 intersectia C
c)B intersectie C
d) D12 diferenta B
e) D12 diferenta C
f) C diferenta D12


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Answer 1

Răspuns:

Explicație pas cu pas:

$\bf D_{12}=\{1,2,3,4,6,12\}$

$\bf B=\{1,3,5,7,9,11\}$

$\bf C=\{0,2,4,6,8,10\}$

a)

$\bf B\cup D_{12}=\{1,3,5,7,9,11\}\cup\{1,2,3,4,6,12\}=\{1,2,3,4,5,6,7,9,11,12\}$

b)

$\bf D_{12}\cap C=\{1,2,3,4,6,12\}\cap\{0,2,4,6,8,10\}=\{2,4,6\}$

c)

$\bf B\cap C=\{1,3,5,7,9,11\}\cap\{0,2,4,6,8,10\}=\varnothing$

d)

$\bf D_{12} \setminus B=\{1,2,3,4,6,12\} \setminus\{1,3,5,7,9,11\}=\{2,4,6,12\}$

e)

$\bf D_{12} \setminus C=\{1,2,3,4,6,12\} \setminus\{0,2,4,6,8,10\} =\{1,3,12\}$

f)

$\bf C\setminus D_{12}=\{0,2,4,6,8,10\}\setminus \{1,2,3,4,6,12\} =\{0,8,10\}$