Sets and Subsets

Define equal sets.

• Two sets are equal if they contain the same elements.

• Two sets are equal if they have the same number of elements.

• Two sets are equal if they have the same intersection.

• Two sets are equal if they have the same union.

Explain how to verify if two sets are equal.

• Check if each element in the first set is also present in the second set, and vice versa. If both sets have the same number of elements and each element is present in the other set, then the sets are equal.

• Check if the sets have the same number of elements, regardless of the actual elements

• Verify if the sets have the same elements in the same order

• Count the total number of elements in both sets and compare the sum

Define subsets in the context of sets.

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

• A subset is a set that contains elements not found in another set.

• A subset is a set that contains only elements that are also in another set.

• A subset is a set that contains elements from different sets.

How can you verify if one set is a subset of another set?

• Count the number of elements in both sets and compare

• Verify if the sets have the same number of elements

• Check if the first set is a superset of the second set

• Check if all elements of the first set are also present in the second set.

What is the criteria for two sets to be considered equal?

• Two sets are considered equal if they have the same number of elements.

• Two sets are considered equal if they have the same elements, regardless of the order in which they appear.

• Two sets are considered equal if they have the same sum of elements.

• Two sets are considered equal if they have the same maximum element.

If set A = {1, 2, 3} and set B = {3, 2, 1}, are they equal sets?

• Rarely

• Yes

• Sometimes

• No

If set C = {a, b, c} and set D = {a, b}, is D a subset of C?

• No

• Maybe

• Sometimes

• Yes

Explain the concept of proper subsets.

• Proper subsets are subsets that do not include all the elements of the original set.

• Proper subsets are subsets that are disjoint from the original set.

• Proper subsets are subsets that include all the elements of the original set.

• Proper subsets are subsets that are larger than the original set.

If set E = {x, y, z} and set F = {x, y, z, w}, is F a proper subset of E?

• Sometimes

• No

• Yes

• Maybe

What is the cardinality of a set?

• Average value of elements in the set

• Number of elements in the universe

• Sum of all elements in the set

• Number of elements in the set