First slide

Introduction to mathematical reasoning

Question

$If (p \land ~ r) \to (~ p \lor q) is false, then the truth values of p, q$ $and r, respectively$

Moderate

A

T, F and F
B

F, F and T
C

F, T and T
D

T, F and T

Solution

$\begin{array}{l} Since, (p \land ~ r) \Rightarrow (~ p \lor q) is F \\ Then, p = T, q = F, r = F \end{array}$

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