If A = {x : x is a natural number less than 4} and B = {1, 2, 3, 3}, which statement is correct?
Answer and explanation
Correct answer: A = B
The natural numbers less than 4 are 1, 2, and 3, so A = {1, 2, 3}. In set notation, listing an element twice does not create a second element; therefore B = {1, 2, 3, 3} represents the same set as {1, 2, 3}. Since A and B have exactly the same members, A = B. Thus option A is correct; the other statements contradict the sets’ actual contents.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The natural numbers less than 4 are 1, 2, and 3, so A = {1, 2, 3}. In set notation, listing an element twice does not create a second element; therefore B = {1, 2, 3, 3} represents the same set as {1, 2, 3}. Since A and B have exactly the same members, A = B. Thus option A is correct; the other statements contradict the sets’ actual contents.
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.
