B tech. Discrete mathematics (I. T & Comp. Science Engg.) Syllabus


Converse, Inverse and Contra positive of a conditional statement



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Converse, Inverse and Contra positive of a conditional statement :

We can form some new conditional statements starting with a conditional statement P Q that occur so often. Namely converse, inverse, contra positive. Which are as follows:





  1. Converse: If P  Q converse of P  Q .

is an implication then Q  P is called the

  1. Contra positive : If P  Q is an implication then the implication

 Q   P is called it’s contra positive.




  1. Inverse: If P  Q inverse.


Example 6:

is an implication then  P   Q is called its


Let P: You are good in Mathematics. Q: You are good in Logic.


Then, P  Q : If you are good in Mathematics then you are good in Logic.

  1. Converse: Q P

If you are good in Logic then you are good in Mathematics.

  1. Contra positive:  Q   P

If you are not good in Logic then you are not good in Mathematics.

  1. Inverse: P Q

If you are not good in Mathematics then you are not good in Logic.

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