Identifying Subsets & Power Sets (Intro)

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Thames
T
Thames
Community Contributor
Quizzes Created: 7387 | Total Attempts: 9,527,684
| Questions: 10 | Updated: Nov 12, 2025
Please wait...
Question 1 / 10
0 %
0/100
Score 0/100
1) Is {3} ⊆ {1, 2, 3}?

Explanation

3 is contained in {1, 2, 3}.

Submit
Please wait...
About This Quiz
Identifying Subsets & Power Sets (Intro) - Quiz

Sets within sets? That’s where subsets and power sets come in. In this quiz, you’ll learn how to identify subsets and build power sets for smaller groups. Try this quiz to gain confidence with these core set theory concepts.

2)
You may optionally provide this to label your report, leaderboard, or certificate.
2) If A={x | x is an even number less than 6}, list P(A).

Explanation

Even numbers less than 6 are 2 and 4.

Submit
3) Write the power set of {a, b}.

Explanation

Power set = all subsets of the set, including ∅ and the set itself.

Submit
4) Is {3} ⊂ {1, 2, 3}?

Explanation

It's a proper subset since it's not equal to the whole set.

Submit
5) Is {1, 2, 3} ⊂ {1, 2, 3}?

Explanation

A set is not a proper subset of itself.

Submit
6) How many elements are in the power set of a 1-element set?

Explanation

Power set includes ∅ and the set itself.

Submit
7) If B=∅, what is P(B)?

Explanation

The empty set has 0 elements, so its power set has 2⁰=1 element, which is {∅}.

Submit
8) Is {1, 2} ⊆ {1, 2, 3}?

Explanation

All elements of {1, 2} are in the second set.

Submit
9) How many elements are in the power set of a 3-element set?

Explanation

2³ = 8 subsets.

Submit
10) How many subsets does a set with 4 elements have?

Explanation

A set with n elements has 2ⁿ subsets.

Submit
×
Saved
Thank you for your feedback!
10)
Your input helps us improve, and you’ll get your detailed results next.
View My Results
Cancel
  • All
    All (10)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
Is {3} ⊆ {1, 2, 3}?
If A={x | x is an even number less than 6}, list P(A).
Write the power set of {a, b}.
Is {3} ⊂ {1, 2, 3}?
Is {1, 2, 3} ⊂ {1, 2, 3}?
How many elements are in the power set of a 1-element set?
If B=∅, what is P(B)?
Is {1, 2} ⊆ {1, 2, 3}?
How many elements are in the power set of a 3-element set?
How many subsets does a set with 4 elements have?
Alert!

Advertisement