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Intro to Sets

Quiz

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A quick set theory warm-up.

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Malaysia

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Intro to Sets
 

Intro to SetsOnline version

A quick set theory warm-up.

by Ain Najwa
1

Which of the following is an element of the set A = {1, 2, 3}?

2

If A = {x, y} and B = {y, z}, what is A ∪ B?

3

What is A ∩ B for A = {1,2,3} and B = {3,4,5}?

4

Which set is a subset of A = {1,2,3}?

5

What is the complement of the set {1} in universal set U = {1,2,3,4}?

6

Which statement is true about finite sets?

7

If A and B are disjoint, what is A ∩ B?

8

Which of the following is a proper subset of {a, b, c}?

9

If |A| = 3 and |B| = 2 with A ∩ B = {a}, what is |A ∪ B|?

10

Which best describes a universal set?

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2 is an individual member; {1,2} is a subset, not a single element.

Union collects all distinct elements; both {x, y} and {y, z} miss z or x.

Intersection contains common elements; 3 is common, others are not.

A subset must have elements all in A; {1,2,3,4} has 4 not in A.

Complement includes all elements of U not in {1}.

Finite sets have a exact, countable number of elements; false statements are incorrect.

Disjoint sets share no elements; the intersection is the empty set.

Proper subset must be contained and not equal; {a, b, c} is not proper.

|A∪B| = |A| + |B| − |A∩B| = 3 + 2 − 1 = 4.

The universal set includes every element considered in a context.

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