Page 4 - LESSON NOTE
P. 4
If converse is true, the inverse is also logically true.
Contrapositive:
Contra positive of a given statement “if p, then q” is if ~q, then ~p.
Statement:
If object is square, then object is Polygon
If object is triangle, then object is Polygon
Contra positive:
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.
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: If p à then q
Converse: 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:
