Answer:
The correct answer to this question is option (b) equivalent sets.
We know that,
Two sets are equivalent to each other if the number of elements in both sets are equal.
And, as we can see that in both sets, the number of elements is the same (5).
Hence, option (b) is correct.
A set is a well-defined collection of objects.
• Roster/Tabular form : In the roster form, we list all the members of the set within braces { } and separate by commas.
• Set-builder form : In the set-builder form, we list the property or properties satisfied by all the elements of the sets.
• Empty Set : A set that does not contain any element is called an empty set / void set / null set, and it is denoted by {} or Φ.
• Singleton Set : A set that consists of a single element, is called a singleton set.
• Finite & Infinite Set: A set which consists of a finite number of elements, is called a finite set, otherwise the set is called an infinite set.
• Equal Sets: Two sets A and B are said to be equal, if the two sets have exactly the same elements.
• Equivalent Sets: Two finite sets A and B are said to be equivalent if the number of elements are equal, i.e. n(A) = n(B).
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Answers & Comments
Answer:
a.Equal
I apologize for the mistake in my previous response. The correct answer is option A, "Equal sets." Two sets are considered equal if they have the same elements. In this case, E and O are equal sets because they contain different elements.
The correct answer to this question is option (b) equivalent sets.
We know that,
Two sets are equivalent to each other if the number of elements in both sets are equal.
And, as we can see that in both sets, the number of elements is the same (5).
Hence, option (b) is correct.
Some Extra Information :
A set is a well-defined collection of objects.
There are two methods of representing a set :
• Roster/Tabular form : In the roster form, we list all the members of the set within braces { } and separate by commas.
• Set-builder form : In the set-builder form, we list the property or properties satisfied by all the elements of the sets.
Types of Sets :
• Empty Set : A set that does not contain any element is called an empty set / void set / null set, and it is denoted by {} or Φ.
• Singleton Set : A set that consists of a single element, is called a singleton set.
• Finite & Infinite Set: A set which consists of a finite number of elements, is called a finite set, otherwise the set is called an infinite set.
• Equal Sets: Two sets A and B are said to be equal, if the two sets have exactly the same elements.
• Equivalent Sets: Two finite sets A and B are said to be equivalent if the number of elements are equal, i.e. n(A) = n(B).