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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


repede dau coroana


Răspuns :

Răspuns:

Explicație pas cu pas:

[tex]\bf D_{12}=\{1,2,3,4,6,12\}[/tex]

[tex]\bf B=\{1,3,5,7,9,11\}[/tex]

[tex]\bf C=\{0,2,4,6,8,10\}[/tex]

a)

[tex]\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\}[/tex]

b)

[tex]\bf D_{12}\cap C=\{1,2,3,4,6,12\}\cap\{0,2,4,6,8,10\}=\{2,4,6\}[/tex]

c)

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

d)

[tex]\bf D_{12} \setminus B=\{1,2,3,4,6,12\} \setminus\{1,3,5,7,9,11\}=\{2,4,6,12\}[/tex]

e)

[tex]\bf D_{12} \setminus C=\{1,2,3,4,6,12\} \setminus\{0,2,4,6,8,10\} =\{1,3,12\}[/tex]

f)

[tex]\bf C\setminus D_{12}=\{0,2,4,6,8,10\}\setminus \{1,2,3,4,6,12\} =\{0,8,10\}[/tex]