Identifying Subsets & Power Sets (Intro)

  • Grade 11th
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Cierra Henderson, MBA |
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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| Attempts: 20 | Questions: 10 | Updated: Jan 21, 2026
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1) Write the power set of {a, b}.

Explanation

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

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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.

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2) Is {3} ⊆ {1, 2, 3}?

Explanation

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

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3) Is {3} ⊂ {1, 2, 3}?

Explanation

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

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4) If A={x | x is an even number less than 6}, list P(A).

Explanation

Even numbers less than 6 are 2 and 4.

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5) If B=∅, what is P(B)?

Explanation

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

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6) Is {1, 2, 3} ⊂ {1, 2, 3}?

Explanation

A set is not a proper subset of itself.

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

Explanation

Power set includes ∅ and the set itself.

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8) Is {1, 2} ⊆ {1, 2, 3}?

Explanation

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

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

Explanation

2³ = 8 subsets.

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

Explanation

A set with n elements has 2ⁿ subsets.

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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Write the power set of {a, b}.
Is {3} ⊆ {1, 2, 3}?
Is {3} ⊂ {1, 2, 3}?
If A={x | x is an even number less than 6}, list P(A).
If B=∅, what is P(B)?
Is {1, 2, 3} ⊂ {1, 2, 3}?
How many elements are in the power set of a 1-element set?
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?
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