If P₁ = {1, 2, 3}, Q₁ = {3, 2, 1}, and R₁ = {1, 2, 4}, which conclusion is correct?
Answer and explanation
Correct answer: P₁ = Q₁ but P₁ ≠ R₁
Two sets are equal when they contain exactly the same elements, regardless of the order in which those elements are written. P₁ and Q₁ both contain 1, 2, and 3, so P₁ = Q₁. However, R₁ contains 4 instead of 3, so it does not have the same elements as P₁. Therefore, P₁ = Q₁ but P₁ ≠ R₁. None of these sets is empty because each contains three elements.
Frequently asked questions
What is the correct answer to this question?
P₁ = Q₁ but P₁ ≠ R₁
Why is this the correct answer?
Two sets are equal when they contain exactly the same elements, regardless of the order in which those elements are written. P₁ and Q₁ both contain 1, 2, and 3, so P₁ = Q₁. However, R₁ contains 4 instead of 3, so it does not have the same elements as P₁. Therefore, P₁ = Q₁ but P₁ ≠ R₁. None of these sets is empty because each contains three elements.
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.
