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Given some random finite subsets of the natural numbers, perform set operations $\\cap,\\;\\cup$ and complement.
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "In this question, the universal set is $\\mathcal{U}=\\{x \\in \\mathbb{N}\\; | 1 \\leq \\;x \\leq \\var{a}\\}$.
\nLet:
\n$A=\\{x \\in \\mathbb{N}\\;|\\;\\var{b}\\leq x \\leq \\var{c}\\}$.
\n$B=\\{x \\in \\mathbb{N}\\;|\\;x \\gt \\var{d}\\}$.
\n$C=\\{ x \\in \\mathbb{N}\\;|\\; x \\text{ divisible by } \\var{f}\\}$.
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\nb) $\\overline{B} \\cap C=\\;$[[1]]
\nc) $A \\cup \\overline{B}=\\;$[[2]]
\nd) $(A \\cap B) \\cup C=\\;$[[3]]
\n\nNote that you input sets in the form set(a,b,c,..,z)
.
For example set(1,2,3)
gives the set $\\{1,2,3\\}$.
The empty set is input as set()
.
It is safest to list all of the elements explicitly.
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