First slide

Introduction to mathematical reasoning

Question

$The contrapositive of the inverse of p \Rightarrow\sim q is$

Moderate

A

$~ q \Rightarrow p$
B

$p \Rightarrow q$
C

$~ q \Rightarrow\sim p$
D

$~ p \Rightarrow\sim q$

Solution

$The inverse of p \Rightarrow\sim q is ~ p \Rightarrow q$
$The contrapositive of ~ p \Rightarrow q is ~ q \Rightarrow p .$
$[∵ contrapositive of p \Rightarrow q is ~ q \Rightarrow\sim p]$

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