Identify the set A = {x ∈ R : x² < 0}.
Answer and explanation
Correct answer: The empty set, ∅
For every real number x, the square x² is greater than or equal to zero. It can equal zero only when x = 0, but it can never be negative. Consequently, the inequality x² < 0 has no real solution, so the set contains no elements and is the empty set ∅. Option B is incorrect because 0² = 0, not a negative number.
Frequently asked questions
What is the correct answer to this question?
The empty set, ∅
Why is this the correct answer?
For every real number x, the square x² is greater than or equal to zero. It can equal zero only when x = 0, but it can never be negative. Consequently, the inequality x² < 0 has no real solution, so the set contains no elements and is the empty set ∅. Option B is incorrect because 0² = 0, not a negative number.
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.
