Question

P - It is a holiday

Q - It is a Sunday

Assertion: If it is not a Sunday, then it is not a holiday. (Q' ⇒ P')

Reason: Inverse is formed when antecedent and consequent are interchanged.

Options

• Both Assertion and Reason are true and Reason is the correct explanation for Assertion.

• Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.

• Assertion is true and Reason is false.

• Both Assertion and Reason are false.

Answer 1

Assertion is true and Reason is false.

Explanation:

The contrapositive to the conditional sentence P ⇒ Q (If P, then Q) is: ~ Q ⇒ ~ P. Statements and contrapositives are always logically equivalent, meaning they are either true or incorrect.