First slide

Introduction to mathematical reasoning

Question

lf p, q and r are simple propositions with truth values T, F and T, respectively, then the truth value of $(~ p \lor q) \land ~ r \to p$ is

Moderate

A

True
B

False
C

True if r is false
D

True if q is true

Solution

$\begin{array}{l} (~ p \lor q) \land ~ r \to p \\ \equiv (F \lor F) \land F \to T \\ \equiv F \to T \\ \equiv T \end{array}$

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