Question
Question: The set O of odd positive integers less than 10 can be expressed by________ (a){1, 2, 3} ...
The set O of odd positive integers less than 10 can be expressed by________
(a){1, 2, 3}
(b){1, 3, 5, 7, 9}
(c){1, 2, 5, 9}
(d){1, 5, 7, 9, 11}
Solution
Hint: For the above question we will have to know about the set. A set is a collection of well defined and distinct objects, considered as an object in its own right. As we know that the odd integers are the number which is not divisible by 2 and positive odd integers are the whole numbers greater than 0, and in the form of (2n−1) where n is a positive whole number equal to or greater than 1.
Complete step-by-step solution -
In the above question we have been asked to make a set of odd positive integers less than 10.
So, the odd positive integers less than 10 are 1, 3, 5, 7, 9.
Now, the set O that represents the set of odd positive integers less than 10 is given as follows:
Set O = {1, 3, 5, 7, 9}
Therefore, the correct option of the above question is option B.
Note: Just remember the point about the odd positive integer that it is represented in the form of (2n−1) where n is a positive whole number equal to or greater than 1.
Also be careful while writing the integers in the form of sets, use only curly braces.