Understanding Sets and Operations

What is a set?

• A set is a collection of similar objects.

• A set is a single object with no duplicates.

• A set is a random assortment of items.

• A set is a collection of distinct objects.

Define a subset.

• A subset is a set that includes all elements of another set.

• A subset is a set that contains some or all elements of another set.

• A subset is a set that contains only unique elements.

• A subset is a set that has no relation to another set.

If A = {1, 2, 3} and B = {1, 2}, is B a subset of A?

• B is equal to A.

• B is a proper subset of A.

• Yes, B is a subset of A.

• No, B is not a subset of A.

What is the union of the sets A = {1, 2} and B = {2, 3}?

• {2, 3}

• {1, 3}

• {1, 2, 3}

• {1, 2}

What is the null set?

• A set that can only contain numbers.

• A set containing one element.

• The null set is a set with no elements.

• A set that is always empty but can have a name.

Is the null set a subset of every set?

• The null set is a subset of only itself.

• Yes, the null set is a subset of every set.

• The null set is not a subset of any set.

• The null set is a subset of only finite sets.

If A = {x | x is an even number} and B = {2, 4, 6}, are A and B equal sets?

• Yes, A and B are equal sets.

• A is a subset of B.

• B contains all even numbers.

• No, A and B are not equal sets.

What is the union of the sets {a, b} and {b, c}?

• {a, b, c, d}

• {a, b, c}

• {a, c}

• {b}

If C = {1, 2, 3} and D = {3, 2, 1}, are C and D equal sets?

• C and D have different elements.

• No, C and D are not equal sets.

• C is a subset of D.

• Yes, C and D are equal sets.

What is the associative law in set theory?

• The associative law applies only to union operations in set theory.

• The associative law states that A ∩ B = B ∩ A.

• The associative law states that (A ∪ B) ∪ C = A ∪ (B ∪ C) and (A ∩ B) ∩ C = A ∩ (B ∩ C).

• The associative law states that A ∪ (B ∩ C) = (A ∪ B) ∩ C.