If {a, a, b} and {a, b} are given, what type of sets are they?
Answer and explanation
Correct answer: Equal sets
In set notation, repeated elements are written only once for purposes of membership. Thus, {a, a, b} represents exactly the same set as {a, b}; both contain the distinct elements a and b. They are therefore equal sets. Repetition can appear in an expression, but it does not create an additional element or change the set.
Frequently asked questions
What is the correct answer to this question?
Equal sets
Why is this the correct answer?
In set notation, repeated elements are written only once for purposes of membership. Thus, {a, a, b} represents exactly the same set as {a, b}; both contain the distinct elements a and b. They are therefore equal sets. Repetition can appear in an expression, but it does not create an additional element or change the set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
