If A = {2, 4, 6} and B = {6, 2, 4, 4}, which conclusion is correct?
Answer and explanation
Correct answer: A and B are equal
A set records membership, not the order in which elements are written or how many times an element is repeated. After ignoring the order and removing the repeated 4 from B, we get B = {2, 4, 6}. This is exactly the same set as A. Therefore A and B are equal. Option B is false because equality is stronger than being a proper subset; neither set has an element missing from the other. Option D is unrelated because no universal set has been specified.
Frequently asked questions
What is the correct answer to this question?
A and B are equal
Why is this the correct answer?
A set records membership, not the order in which elements are written or how many times an element is repeated. After ignoring the order and removing the repeated 4 from B, we get B = {2, 4, 6}. This is exactly the same set as A. Therefore A and B are equal. Option B is false because equality is stronger than being a proper subset; neither set has an element missing from the other. Option D is unrelated because no universal set has been specified.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
