What type of set is A = {x : x is a whole number between 3 and 4}?
Answer and explanation
Correct answer: Empty set
Whole numbers are 0, 1, 2, 3, 4, and so on. There is no whole number strictly between two consecutive whole numbers, 3 and 4. Because no value satisfies the condition defining A, the set has no members. A set with no elements is called the empty set, so A = ∅.
Frequently asked questions
What is the correct answer to this question?
Empty set
Why is this the correct answer?
Whole numbers are 0, 1, 2, 3, 4, and so on. There is no whole number strictly between two consecutive whole numbers, 3 and 4. Because no value satisfies the condition defining A, the set has no members. A set with no elements is called the empty set, so A = ∅.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.