Question

If, A: Every whole number is a natural number
R : 0 is not a natural number.
Then which of the following statement is true?

A

A is false and R is the correct explanation of A.

B

A is true and R is the correct explanation of A.

C

A is true and R is false.

D

Both A and R are true.

Medium
Solution
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Correct option is A)

The set of whole numbers is where is the least whole number.

The set of natural numbers is .

From the above statements, we conclude that every natural number is a whole number but every whole number is not a natural number because is not a natural number.

Therefore,  is not a natural number and this proves that every whole number is not a natural number.

Hence, the statement A is false and R is the correct explanation of A.

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