Question Bank: Sets

What is a set?

Which symbol indicates that an element belongs to a set?

If A = {2, 4, 6}, which of the following statements is true?

Which of the following sets is represented in roster form?

In set theory, what does the complement of a set represent?

Which of the following is NOT a well-defined set?

What is the set of even natural numbers less than 10?

Which statement is false regarding the union of sets A and B?

If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∩ B?

What is the proper notation for the empty set?

In set-builder notation, how would you write the set of all x such that x is a natural number less than 5?

What does it mean when we say A ⊆ B?

If A = {1, 2} and B = {2, 3}, what is A ∪ B?

In a universal set U = {1, 2, 3, 4, 5} and A = {1, 2}, what is the complement of A?

Which of the following is an example of a finite set?

If A = {x | x is a vowel in the English alphabet}, then which of the following is true?

Which of the following is a correct representation of the set of odd natural numbers less than 10?

The set of vowels in the English alphabet is represented as which of the following?

If A = {2, 4, 6, 8} and B = {4, 5, 6, 7}, what is A ∩ B?

Which of the following statements about sets is true?

Represent the set of positive integers in set-builder form.

Which elements belong to the set Q of rational numbers?

How is the empty set represented?

In the notation x ∈ A, what does '∈' represent?

What is the correct cardinality of the set A = {1, 2, 3, 4, 5}?

Which operation is performed when we find A ∪ B?

Which of the following is not a characteristic of a set?

If A = {x | x is a prime number less than 10}, what is A?

Which of the following describes a well-defined set?

Identify the representation of the set of integers greater than 0 in set-builder notation.

For sets A and B, which is true about A - B?

If 5 ∈ A, what can we conclude?

What is the definition of the empty set?

Which symbol represents the empty set?

Which of the following is an example of an empty set?

Which situation best describes an empty set?

If A = {x : x is an even prime number greater than 2}, what is the nature of A?

Which of the following statements is true about the empty set?

What can you conclude about the union of any set and the empty set?

Given the set B = {x : x is a student in both Classes X and XI}, how many elements are in B?

If C = {x : x^2 - 2 = 0 and x is rational}, what type of set is C?

Which of the following conditions will create an empty set?

How can you express the empty set in set-builder notation?

Which of the following describes the relationship of the empty set to set A?

What is the cardinality of the empty set?

If D = {x: x is an odd number such that x^2 = -1}, what is the state of D?

Why is the set of all even prime numbers greater than 2 an empty set?

If you take the intersection of any set with the empty set, what is the result?

In set theory, what is often confused with the empty set?

Why can't a set contain itself as an element, resulting in an empty set?

If E = {x: x is a natural number and x < 1}, what can E be identified as?

Which of the following is a characteristic of a finite set?

Which of the following sets is an empty set?

Which of the following sets is infinite?

Which statement is true about an infinite set?

The set C = {x: x is a rational number, x^2 - 2 = 0} is...

Which of the following correctly defines a finite set?

Which of the following is not a property of an empty set?

Which of the following sets is finite?

Identify the correct statement about the set of even numbers.

Which of the following describes the set D = {x: x∈N, x^2 = 4 and x is odd}?

If set E contains all prime numbers, how is it classified?

What does |A| = 0 signify regarding set A?

Which of the following statements is true regarding equal sets?

What pattern occurs when writing an infinite set in roster form?

Which of the following pairs of sets are equal?

Are the sets {5, 6} and {6, 5} equal?

Which of the following is not an equal set?

If A = {1, 2} and B = {1, 2, 2}, what can be said about A and B?

Which of the following statements is true about equal sets?

What is the result of the intersection of equal sets A and B?

Given A = {x | x is a prime number less than 10} and B = {2, 3, 5, 7}, which statement is correct?

If A = {a, b, c} and B = {x : x is a letter in the word 'cab'}; what can we conclude?

Are the sets {0} and {} equal?

If C = {x | x is an even number}, which set is equal to C?

Which of the following is an example of unequal sets?

How would you express the equality of two sets in set notation?

If A = {x | x is a natural number less than 5} and B = {1, 2, 3, 4}, what can we say about A and B?

Which of the following pairs has unequal sets?

Given two sets A and B, if they are equal, what can be asserted?

In a Venn diagram, which shape typically represents the universal set?

What does the intersection of two sets A and B (A ∩ B) represent in a Venn diagram?

If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∪ B?

Given U = {1, 2, 3, 4, 5, 6}, A = {2, 4}, and B = {3, 5}, what is the complement of A (A')?

If in a Venn diagram, one circle is fully within another circle, what is the relationship between the two sets?

Which operation will give us elements belonging to set A but not belong to set B?

In a scenario where A = {1, 2, 3} and B = {3, 4, 5}, what is the symmetric difference (A Δ B)?

If A = {x | x is an even integer} and B = {x | x is a prime number}, what is A ∩ B?

Which law states that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)?

In a Venn diagram of set A and an empty set, what does the intersection of A and an empty set yield?

If A = {1, 2, 3} and B = {2, 3, 4, 5}, what is A ∪ B?

When creating a Venn diagram for the sets A and B that overlap partially, what does the region of overlap represent?

For sets A = {1, 2, 3} and B = {4, 5}, what is A ∩ B?

What can you conclude if two sets A and B do not overlap in a Venn diagram?

Which of the following is a proper subset of {1, 2, 3, 4}?

If A = {a, b} and B = {a, b, c}, which statement is true?

Identify the number of subsets for the set {x, y, z}.

Which of the following pairs shows that B is a subset of A?

What is the relationship between the empty set and any set A?

If A = {1, 2} and B = {1, 2, 3}, then which of the following is true?

Which of the following statements about subsets is true?

Given sets A and B, if A ⊂ B and A ≠ B, what can we say about A?

If A = {1, 2} and B = {2, 3, 4}, what is A ∩ B?

Which of the following could be an incorrect assumption regarding subsets?

For the sets A = {x: x is an integer}, B = {0, 1, 2}, which of the following is true?

If B is a subset of A, which of the following will not hold?

In the context of sets, what does it mean if A ∩ B = φ?

If A = {1, 2, 3} and C = {2, 3, 4}, what can we conclude about A and C?

Given A is a proper subset and B is a superset of A, which of the following must be true?

Which of the following sets is NOT a subset of the real numbers?

Let A = {n ∈ Z : n is even} and B = {2, 4, 6}. Is B a subset of A?

What is the universal set denoted as in set theory?

If U is the set of all integers, which of the following is NOT a subset of U?

If A = {1, 2} and U = {1, 2, 3, 4}, what is the complement of A?

In the context of population, what might the universal set U represent?

If A = {x: x is a natural number less than 5} and U = {x: x is a natural number}, what is A?

Given U = {1, 2, 3, 4} and A = {2}, which of the following statements is correct?

What is the complement of the universal set U?

If A and B are subsets of a universal set U, which of the following is true?

Using De Morgan's law, which expression represents (A ∪ B)'?

If A = {1, 3} and B = {2, 3}, what is (A ∪ B)' if U = {1, 2, 3, 4, 5}?

Which property states that the complement of the complement of a set A returns the original set?

If A and B are subsets of a universal set U and if A ∩ B = φ, what can be inferred about sets A and B?

What is the result of (A ∩ U') if A ⊆ U?

In a specific context, if U = {x: x is a fruit} and A = {apple, banana}, what does A' represent?

What is the union of sets A = {1, 2, 3} and B = {3, 4, 5}?

Which of the following correctly represents the law that states A ∪ (A') = U?

If A = {2, 4, 6} and B = {4, 6, 8}, what is A ∩ B?

Which of the following represents a disjoint set scenario?

If A = {x | x is a prime number < 10} and B = {x | x is an even number < 10}, what is A ∪ B?

Which of the following laws states that A ∩ B = B ∩ A?

Given sets A = {1, 2, 3} and B = {1, 2}, what is A ∪ (A ∩ B)?

What is the intersection of sets A = {a, b, c} and B = {d, e, f}?

If C = {1, 2, 3, 4, 5, 6, 7, 8}, how do you express the set of even numbers from C?

Given the universal set U = {1, 2, 3, 4, 5, 6} and sets A = {1, 2}, B = {2, 6}, what is A ∪ B?

Which property states that A ∪ φ = A?

What is the universal set if A = {1, 3}, B = {2, 3, 4}?

The set A is said to be a subset of set B if:

What is A - B if A = {1, 2, 3} and B = {2}?

For sets A, B, and C, which property is represented by (A ∩ B) ∪ C = C ∪ (A ∩ B)?

If the universal set U = {1, 2, 3, 4, 5} and A = {1, 2}, find the complement of A.

If A = {1, 3, 5} and B = {3, 5, 7}, what is A ∩ B?

What is the complement of set A = {1, 2, 3} within the universal set U = {1, 2, 3, 4, 5, 6}?

If U = {1, 2, 3, 4, 5} and A = {2, 4}, what is A′?

Which of the following represents the complement of A if U = {x: x is a natural number} and A = {x: x is an even natural number}?

If U = {1, 2, 3, 4, 5} and A = {1, 3, 5}, what is the intersection of A′ and A?

In a universal set U of letters {a, b, c, d, e} and A = {a, c}, which one of the following is A′?

If U = {x: x is a prime number} and A = {2, 3, 5}, what is A′?

What is the result of A ∪ B's complement if A = {1, 2} and B = {2, 3} in U = {1, 2, 3, 4, 5}?

If A = {2, 4, 6} and B = {1, 2, 3, 4, 5, 6}, find A′ ∩ B′ when U = {x: x is a whole number from 1 to 6}.

What is the intersection of a set and its complement?

If A = {x: x is a prime number} and U = {x: x is a natural number less than 10}, find A′.

What does it mean if A is a subset of U?

If U = {a, b, c, d, e} and A = {b}, what is the intersection of A and A′?

What is the complement of the empty set in any universal set?