If G = {a, b, c} and H = {b, c, a, a}, what is true about G and H?
Answer and explanation
Correct answer: They are equal sets
Repeated writing of an element does not increase the number of distinct elements in a set. In H, the symbol a appears twice, but it is still only one distinct element. Thus H can be rewritten as {a, b, c}, which is exactly G. Therefore G and H are equal sets, and H does not have four distinct elements.
Frequently asked questions
What is the correct answer to this question?
They are equal sets
Why is this the correct answer?
Repeated writing of an element does not increase the number of distinct elements in a set. In H, the symbol a appears twice, but it is still only one distinct element. Thus H can be rewritten as {a, b, c}, which is exactly G. Therefore G and H are equal sets, and H does not have four distinct 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.
