Answer: {x : x is a prime number less than 10}.
- A the collection of all prime numbers below ten
- B {x : x is a prime number less than 10}
- C the listed elements 2, 3, 5 and 7
- D a set written in roster or tabular form
Correct answer: B. {x : x is a prime number less than 10}
Explanation: Set-builder form states a common defining property of the elements using the notation {x : P(x)}. Simply listing the elements (2, 3, 5, 7) is the roster or tabular form.
A Venn diagram makes set identities visual: A∪B is everything inside either circle, A∩B is only the overlap, and the region outside both circles represents the complement of their union - directly illustrating De Morgan's law (A∪B)′ = A′∩B′.
Concept context
Types of sets, operations (union/intersection/complement), relations, and types of functions with domain and range