Identifying Subsets & Power Sets (Intro)

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

Explanation

A set with n elements has 2ⁿ subsets.

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3) Is {1, 2} ⊆ {1, 2, 3}?

Explanation

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

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4) Is {3} ⊆ {1, 2, 3}?

Explanation

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

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5) Is {3} ⊂ {1, 2, 3}?

Explanation

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

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

Explanation

2³ = 8 subsets.

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9) 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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10) 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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Write the power set of {a, b}.
How many subsets does a set with 4 elements have?
Is {1, 2} ⊆ {1, 2, 3}?
Is {3} ⊆ {1, 2, 3}?
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?
How many elements are in the power set of a 3-element set?
If A={x | x is an even number less than 6}, list P(A).
If B=∅, what is P(B)?
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