How many elements are in A = {x : x is an integer between 5 and 6}?
Answer and explanation
Correct answer: 0
There is no integer strictly between two consecutive integers, 5 and 6. The numbers between them are real numbers such as 5.5, but none of those is an integer. Hence the set A has no elements and is the empty set. Its cardinality, written as n(A) or |A|, is therefore 0. The endpoints are not between 5 and 6.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
There is no integer strictly between two consecutive integers, 5 and 6. The numbers between them are real numbers such as 5.5, but none of those is an integer. Hence the set A has no elements and is the empty set. Its cardinality, written as n(A) or |A|, is therefore 0. The endpoints are not between 5 and 6.
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.
