First slide

Introduction to mathematical reasoning

Question

Which of the following Boolean expression is a tautology?

Moderate

A

$(p \land q) \lor (p \lor q)$
B

$(p \land q) \to (p \to q)$
C

$(p \land q) \land (p \to q)$
D

$(p \land q) \lor (p \to q)$

Solution

p q $p \land q$ $p \to q$ $(p \land q) \to (p \to q)$
T T T T T
T F F F T
F T F T T
F F F T T

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