First slide

Introduction to mathematical reasoning

Question

$The contrapositive of (p \land q) \to r is$

Moderate

A

$~ r ~ p \land ~ q$
B

$~ r \Rightarrow (~ p \lor ~ q)$
C

$~ r (p \lor q)$
D

$p (q \lor r)$

Solution

$Contrapositive of p \Rightarrow q is ~ q \Rightarrow\sim p$
$- r \Rightarrow\sim (p \land q), i.e. ~ r \Rightarrow (~ p \lor ~ q)$
$Hence, (b) is the correct option.$

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