What kind of set is A = {x : x ∈ N, x is greater than 7 and less than 7}?
Answer and explanation
Correct answer: Empty set
The condition requires one natural number to satisfy x > 7 and x < 7 simultaneously. No number can be greater than 7 and less than 7 at the same time. Thus there are no elements satisfying the condition. A set with no elements is called the empty set, written as ∅. Therefore, option A is correct; although the empty set is finite, the most precise listed description is empty set.
Frequently asked questions
What is the correct answer to this question?
Empty set
Why is this the correct answer?
The condition requires one natural number to satisfy x > 7 and x < 7 simultaneously. No number can be greater than 7 and less than 7 at the same time. Thus there are no elements satisfying the condition. A set with no elements is called the empty set, written as ∅. Therefore, option A is correct; although the empty set is finite, the most precise listed description is empty set.
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.
