First slide

Introduction to mathematical reasoning

Question

If p is true and q is false, then which of the following statements is NOT true?

Moderate

A

$p \lor q$
B

$p \land (~ q)$
C

$p \to p$
D

$p \to q$

Solution

Since p is true and q is false, $p \lor q$ is true.
$p \land (~ q)$ is true as $~ q$ is true.
Also, $p \to p$ is true.
Clearly, $p \to q$ is false.

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