Which of the following sets satisfies n(A) = 2?
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Answer and explanation
Correct answer: A = {5, 7}
The notation n(A) denotes the cardinality of set A, meaning the number of distinct elements in it. The empty set has 0 elements, {5} has 1 element, {5, 7} has 2 distinct elements, and {1, 2, 3} has 3 elements. Therefore, the set satisfying n(A) = 2 is {5, 7}, which is option C.
Frequently asked questions
What is the correct answer to this question?
A = {5, 7}
Why is this the correct answer?
The notation n(A) denotes the cardinality of set A, meaning the number of distinct elements in it. The empty set has 0 elements, {5} has 1 element, {5, 7} has 2 distinct elements, and {1, 2, 3} has 3 elements. Therefore, the set satisfying n(A) = 2 is {5, 7}, which is option C.
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.
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