Question

determine the truth value for the statement below when p is true, q is true, and r is true. ~p∨(q∧~r) what is the truth value of the compound statement? the statement is true. the statement is false.

Explanation:

Step1: Evaluate negations

$
eg p = \text{False}$, $
eg r = \text{False}$

Step2: Evaluate inner conjunction

$q \land
eg r = \text{True} \land \text{False} = \text{False}$

Step3: Evaluate final disjunction

$
eg p \lor (q \land
eg r) = \text{False} \lor \text{False} = \text{False}$

Answer:

The statement is false.