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