If A is the set of all real numbers greater than 3, what type of set is A?
Answer and explanation
Correct answer: Infinite set
The set can be written as A = {x ∈ ℝ : x > 3}, or in interval notation as (3, ∞). It contains not only whole numbers such as 4, 5, and 6, but also infinitely many decimal and fractional numbers such as 3.1, 3.01, and 7/2. Since there is no greatest real number in this set and its elements never end, A is infinite.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The set can be written as A = {x ∈ ℝ : x > 3}, or in interval notation as (3, ∞). It contains not only whole numbers such as 4, 5, and 6, but also infinitely many decimal and fractional numbers such as 3.1, 3.01, and 7/2. Since there is no greatest real number in this set and its elements never end, A is infinite.
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.
