What is the cardinality of the set of odd positive integers less than 10?
Answers
Answer:
What is the cardinality of the set of odd positive integers less than 10? Explanation: Set S of odd positive an odd integer less than 10 is {1, 3, 5, 7, 9}. Then, Cardinality of set S = |S| which is 5.
SOLUTION
TO DETERMINE
The cardinality of the set of odd positive integers less than 10
CONCEPT TO BE IMPLEMENTED
SET :
A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole
Representation of Set :
A set can be represented in following ways
(i) Statement form method
(ii) Roster or tabular form method
(iii) Rule or set builder form method
EVALUATION
Here the given set is Set of odd positive integers less than 10
Let A be the set
Then A = Set of odd positive integers less than 10
Now the odd positive integers less than 10 are 1 , 3 , 5 , 7 , 9
Thus A = { 1 , 3 , 5 , 7 , 9 }
Thus the cardinality of the Set A
= The number of elements in A
= 5
FINAL ANSWER
The cardinality of the set of odd positive integers less than 10 = 5
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