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Enumerate the set explicitly - your answer may not include set arithmetic operations.

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$A \\cap B=\\;$[[0]]

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Enumerate the set explicitly - your answer may not include set arithmetic operations.

$B \\cap C=\\;$[[0]]

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Enumerate the set explicitly - your answer may not include set arithmetic operations.

$A \\cap C^c=\\;$[[0]]

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Enumerate the set explicitly - your answer may not include set arithmetic operations.

$(A^c \\cup C) \\cap B=\\;$[[0]]

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Enumerate the set explicitly - your answer may not include set arithmetic operations.

$(A \\cup C)^c \\cap B^c=\\;$[[0]]

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Enumerate the set explicitly - your answer may not include set arithmetic operations.

$(A \\cup B^c) \\cap C=\\;$[[0]]

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In this question, the universal set is $\\mathcal{U}=\\{x \\in \\mathbb{N}\\; | \\;x \\leq \\var{a}\\}$.

Let:

$A=\\{x \\in \\mathbb{N}\\;|\\;\\var{b}\\leq x \\leq \\var{c}\\}$.

$B=\\{x \\in \\mathbb{N}\\;|\\;x \\gt \\var{d}\\}$.

$C=\\{ x \\in \\mathbb{N}\\;|\\; x \\text{ divisible by } \\var{f}\\}$.

Enumerate the following sets.

Note that you input sets in the form set(a,b,c,d) .

For example set(1,2,3) gives the set $\\{1,2,3\\}$.

The empty set is input as set().

Also some labour saving tips:

If you want to input all integers between $a$ and $b$ inclusive then instead of writing all the elements you can input this as set(a..b).

If you want to input all integers between $a$ and $b$ inclusive in steps of $c$ then this is input as set(a..b#c). So all odd integers from $-3$ to $28$ are input as set(-3..28#2).

Notation set(a..b) and set(a,b,c) cannot be mixed. For example set(a..b,c) will not be processed as expected.

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