What type of set is A = {x : x ∈ ℤ, x is even}?
Answer and explanation
Correct answer: Infinite set
The set contains all even integers: ..., −6, −4, −2, 0, 2, 4, 6, .... There is always another even integer greater than any listed member, and the sequence also continues indefinitely in the negative direction. Therefore, the set has infinitely many elements and is an infinite set. Hence, option C is correct.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The set contains all even integers: ..., −6, −4, −2, 0, 2, 4, 6, .... There is always another even integer greater than any listed member, and the sequence also continues indefinitely in the negative direction. Therefore, the set has infinitely many elements and is an infinite set. Hence, option C is correct.
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.
