If N = {x : x is a triangle having four sides}, what kind of set is N?
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Answer and explanation
Correct answer: Empty set
By definition, a triangle is a polygon with exactly three sides. Therefore, an object cannot simultaneously be a triangle and have four sides. No element satisfies the defining condition of N, so N contains no members. A set with no members is called an empty set, written as ∅; hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
Empty set
Why is this the correct answer?
By definition, a triangle is a polygon with exactly three sides. Therefore, an object cannot simultaneously be a triangle and have four sides. No element satisfies the defining condition of N, so N contains no members. A set with no members is called an empty set, written as ∅; hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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