Advertisements
Advertisements
Question
Assertion: For proposition ∼A=> B, its contrapositive is B =>∼A
Reason: Contrapositive is the converse of inverse for any proposition.
Options
Both Assertion and Reason are true, and Reason is the correct explanation for the Assertion.
Both Assertion and Reason are true, but Reason is not the correct explanation for the Assertion.
Assertion is true but Reason is false.
Assertion is false but Reason is true.
Solution
Both Assertion and Reason are true, and Reason is the correct explanation for the Assertion.
Explanation:
Inverse of A→B = ∼A→∼B
Converse is B→A
Contrapositive is ∼B→∼A
i.e., it is converse of inverse or inverse of converse.
APPEARS IN
RELATED QUESTIONS
The complement of the Boolean expression (P' • Q) (R • S') is ______.
Study the given propositions and the statements marked Assertion and Reason that follow it. Choose the correct option on the basis of your analysis.
p = I am a triangle
q = I am a three-sided polygon
s1 = p → q
s2 = q → p
Assertion: s2 is converse of s1
Reason: Three-sided polygon must be a triangle.
