Understanding Subsets and Power Sets

What is a subset?

• A set with no elements

• A set whose elements are all members of another set

• A set that is larger than another set

• A set that contains elements not in another set

Which symbol represents a proper subset?

• ∪

• ∩

• ⊂

• ⊆

How many subsets does a set with elements 1, 2, 3, and 4 have?

• 24

• 16

• 12

• 8

What is a proper subset?

• A subset that is equal to the original set

• A subset that contains all elements of the original set

• A subset that contains some but not all elements of the original set

• A subset with no elements

What is an improper subset?

• A subset that contains some elements of the original set

• A subset that is larger than the original set

• A subset that contains no elements

• A subset that contains all elements of the original set

How many subsets are there in a set with three elements?

• 8

• 6

• 4

• 10

What is the formula to calculate the number of subsets of a set?

• n^2

• 2^n

• n+2

• n-2

What is a power set?

• A set that is larger than the original set

• A set with no elements

• A set containing all possible subsets of a given set

• A set containing only the empty set

How is the power set of a set represented?

• A-1

• P(A)

• A+1

• A^2

If a set has elements 1 and 5, what is its power set?

• {∅, {1}, {5}, {1, 5}}

• {∅, {1, 5}}

• {1, 5}

• {∅, {1}, {5}}