Answer to Question #283462 in Discrete Mathematics for Ghazi

Question

I come to class whenever there is going to be a quiz this statement is inverse converse and contarpositve?

Answer 1

Solution:

$\text {I come to class whenever there is going to be a quiz.}$$\text{If there is a quiz.I come to class.}$

$p: \text{There is a quiz}$

$q:\text{I come to class.}$

$\neg p:\text{The quiz is not going}$

$\neg q:\text{I don't come to class.}$

$\text{inverse: }\neg p\to \neg q$

$\text{If the quiz is not going.I don't come to class.}$

$\text{converse: }q\to p$

$\text{If I come to class.The quiz is going}$

$\text{contrapositive:}\neg q\to \neg p$

$\text{If i don't come to class.The quiz is not going.}$