State true or false:

Every whole number is a natural number.

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True

False

answer is B.

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Detailed Solution

We are given that every whole number is a natural number.
We know that the counting numbers are called the natural numbers. These numbers start at 1.
Let us assume that the natural numbers as

ℕ

then we get the set of natural numbers as
⇒N = {1,2,3,4,.......}
Now, let us take the definition of the whole numbers.
We know that the set of counting numbers along with 0 are called whole numbers.
Let us assume that the whole numbers as W then we get the set of whole numbers from the definition as

⇒ W = ℕ ∪ {0} ⇒ W = {0, 1, 2, 3, 4...........}

Here we can see that there is a number 0 in the whole numbers but not in the set of natural numbers.
Here, we can see that 0 is a whole number but not a natural number.
Therefore, we can conclude that the given statement that every whole number is a natural number is wrong or false.

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