Question

determine the truth value for the statement below when p is false, q is true, and r is false.\\( p wedge sim (q vee r) \\)\\( \\)\\( \\)what is the truth value of the compound statement?\\( \\)\\( \circ \\) the statement is false.\\( \\)\\( \circ \\) the statement is true.

Explanation:

Step1: Evaluate $q \lor r$

$q \lor r = \text{true} \lor \text{false} = \text{true}$

Step2: Evaluate $\sim(q \lor r)$

$\sim(q \lor r) = \sim\text{true} = \text{false}$

Step3: Evaluate $p \land \sim(q \lor r)$

$p \land \sim(q \lor r) = \text{false} \land \text{false} = \text{false}$

Answer:

The statement is false.