Maths Class 11 Chapter 14. Mathematical reasoning | Page 6

Converse The converse of a given statement “ if p , then q ” is “ if q , then p ”. Statement : If N is divisible by 6 , then N is divisible by 3 If N is divisible by 9 , then N is divisible by 3 Converse : If N is divisible by 3 , then N is divisible by 6 If N is divisible by 3 , then N is divisible by 9 Statement : Converse :
If p à then q If q à then p Is statement is TRUE , then converse is FALSE
Inverse The Inverse of a given statement “ if p , then q ” is “ if ~ p , then ~ q ”.
Statement : If N is divisible by 6 , then N is divisible by 3 If N is divisible by 9 , then N is divisible by 3
Inverse : If N is not divisible by 6 , then N is not divisible by 3 If N is not divisible by 9 , then N is not divisible by 3