State whether the following statement is true or false:

A set of odd natural numbers divisible by 2 is a null set because there is no odd number that is divisible by 2.

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept- First, we will search the set for the items that match the provided condition, and then we will determine whether or not the given condition is possible. Thus, we shall have a solution. Odd numbers can only be concluded with 1, 3, 5, 7, or 9.
We'll start by defining a set.
A collection of objects that is clearly specified as a set. The phrase "Well defined" relates to the fact that we cannot state that we have a group of intelligent Class 10 pupils because the definition of intelligence differs for each individual. Therefore, it is impossible to designate a group of intellectual Class 10 students; yet, a group of kids who received marks greater than 90 is a group that can be precisely identified.
We'll see what natural numbers are in a moment.
Natural numbers are utilized for counting as well as being a component of the number system that consists of all positive integers from 1 to infinity. It does not contain zero (0) . In actuality, the numerals 1, 2, 3, 5, 6, 7, 8, 9,... Natural numbers are a subset of real numbers, which only comprise positive integers such as 1, 2, 3, 4,5, and 6 and exclude any other values such as zero, fractions, decimals, and negative numbers.
So, natural numbers equal 1, 2, 3, 4, etc.
We now understand that an odd number is a number that cannot be divided by two.
Odd natural numbers therefore equal 1, 3, 5, etc.
Furthermore, we are aware that odd numbers cannot be divided by 2.
The set of odd natural numbers that may be divided by two is therefore empty.
Hence, the given statement is true.

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