Understanding Sets and Subsets

What is a subset?

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

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

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

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

Define a proper subset.

• A proper subset is a subset that is not equal to the original set.

• A proper subset is equal to the original set.

• A proper subset contains all elements of the original set.

• A proper subset must have at least one element in common with the original set.

What is the difference between a finite set and an infinite set?

• A finite set is always larger than an infinite set; an infinite set is always smaller than a finite set.

• A finite set can have an infinite number of elements; an infinite set has a limited number of elements.

• A finite set is a subset of an infinite set; an infinite set cannot contain finite sets.

• A finite set has a limited number of elements; an infinite set has an unlimited number of elements.

Can a set be a subset of itself?

• A set can only be a subset of other sets.

• Only empty sets can be subsets of themselves.

• No, a set cannot be a subset of itself.

• Yes, a set can be a subset of itself.

Give an example of a finite set.

• {apple, banana, orange, grape}

• {x, y, z, w}

• {"red", "yellow", "green"}

• {1, 2, 3}

What is an infinite set?

• An infinite set is a set that can be counted one by one.

• An infinite set is a set that contains no elements at all.

• A finite set is a set with a limited number of elements.

• An infinite set is a set with an unbounded number of elements.

Is the empty set a subset of every set?

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

• The empty set is a subset of only itself.

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

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

How many subsets can a set with three elements have?

• 6

• 4

• 8

• 10

What is the power set of a set?

• The power set contains only the original set itself.

• The power set of a set is the set of all its subsets.

• The power set is the set of all elements in the original set.

• The power set includes only the empty set.

Explain why every proper subset is also a subset.

• A proper subset must contain all elements of the original set.

• A proper subset cannot be a subset of itself.

• Every proper subset is also a subset because it contains elements from the original set.

• Every subset is a proper subset if it has at least one element.