Question

Măcar să determinați mulțimile A,B,C​

Answer 1

Răspuns:

Explicație pas cu pas:

A= { 0,1,2,3,4,5,6,7,8 }

B= {0, 3,6,9,12,15,18,21 ,24}

C= { 25,21 ,17,13,9 , 5, }

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a)

A∪B={0,1,2,3,4,5,6,7,8 ,9,12,15,18,21,24}

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b)

B∪C={0,3,6,9,12,15,18,21,24 ,25,21,17,13,5 }

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c)

A∪C= {0,1,2,3,4,5,6,7,8 ,25,21,17,13,9 }

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d)

A∪B∪C= {0,1,2,3,4,5,6,7,8 ,9,12,15,18,21,24 ,25, 17,13 }

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e)

A∩B= {0,3,6 }

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f)

A∩C= {5 }

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g)

B∩C= {21,9 }

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h)

A∩B∩C= {∅}

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i)

A∪(B∩C) = A∪{0,3,6}= {0,1,2,3,4,5,6,7,8,9 }

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j)

(A∪B)∩C= { 0,1,2,3,4,5,6,7,8,9 ,12,15,18,21,24 }∪C= {9,21 }

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k)

(A∩B)∪(B∩C)={0,3,6}∪{21,9}={∅}

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l)

A∪B∩∅={∅}