"If natural numbers are whole numbers, then rational numbers are integers" or "If rational numbers are integers, then natural numbers are whole numbers" is

a tautology

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a contradiction

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a contingency

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not a statement

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Solution

The correct option is A a tautology
A tautology is a statement that is always true.
Here, both the statements of the compound statement are False. Hence the compound statement is Tue as a combination of Two False is True.
Hence, the given statement is a tautology.

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Similar questions

All Natural numbers, Whole numbers and Integers are rational numbers.

Are the following statements true or false ? Give reasons for your answer.

(i) Every whole number is a natural number.

(ii) Every integer is a rational number.

(iii) Every rational number is an integer.

(iv) Every natural number is a whole number.

(v) Every integer is a whole number.

(vi) Every rational number is a whole number.

State whether the following statements are true or false. Give reasons for your answers.

(i) Every natural number is a whole number.

(ii) Every integer is a whole number.

(iii) Every rational number is a whole number.

Which of the following statements are true?

(i) Every natural number is a rational number.

(ii) Every integer is a rational number.

(iii) 0 is a whole number but it is not a rational number.

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