Exploring Set Theory Concepts

{ x ∈ ℤ | x = 2n + 1, n ∈ ℤ }

{ x ∈ ℤ | x = n^2, n ∈ ℤ }

{ x ∈ ℤ | x = 2n, n ∈ ℤ }

{ x ∈ ℤ | x = 3n, n ∈ ℤ }

{1, 2, 3, 4}

{1, 4}

{1, 2, 3}

{2, 3}

{a, b, c}

{b, c}

{a, b}

[{}, {"a"}, {"b"}, {"a", "b"}]

No, the sets are different because of the order.

Yes, but only if x and y are the same element.

No, sets cannot contain duplicate elements.

Yes, the sets {x, y} and {y, x} are equal.

An example of a null set is {1, 2, 3}.

A null set contains at least one element.

An example of a null set is ∅ or {}.

A null set is a set with infinite elements.

{2}

{1}

{1, 2}

{}

{a, b, c}

{a, b, c, d}

{b}

{a, c}

D is a proper subset of E.

D and E are equal sets.

No, D is not a subset of E.

Yes, D is a subset of E.

∅

null

[]

{}

[2, 3, 5, 7]

[2, 3, 5, 11]

[2, 3, 5, 9]

[1, 4, 6, 8]