Which statement is correct for the set {x : x ∈ ℕ and x + 3 = x}?
Answer and explanation
Correct answer: It is an empty set
For any number x, the equation x + 3 = x would require subtracting x from both sides, giving 3 = 0. This is impossible, so no natural number satisfies the stated condition. A set defined by a condition has no elements when the condition has no solution. Therefore, the given solution set is the empty set ∅.
Frequently asked questions
What is the correct answer to this question?
It is an empty set
Why is this the correct answer?
For any number x, the equation x + 3 = x would require subtracting x from both sides, giving 3 = 0. This is impossible, so no natural number satisfies the stated condition. A set defined by a condition has no elements when the condition has no solution. Therefore, the given solution set is the 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.
