|Class 11 Maths Mathematical Reasoning||Contrapositive|
Contrapositive, Converse, Inverse
Statement: if p then q
Converse: if q then p
Inverse: if not p then not q
Contrapositive: if not q then not p
If a statement is true, contrapositive is also true.
If converse is true, the inverse is also logically true.
Contra positive of a given statement “if p, then q” is if ~q, then ~p.
If object is square, then object is Polygon
If object is triangle, then object is Polygon
If object is not polygon, then it is not Square
If object is not polygon, then it is not Triangle
Statement: If p à then q
Contra positive: If ~q à then ~p
If statement is true then contra positive is also true.